Cameron Norrie secured Great Britain's place in the Davis Cup Finals group stage, with his victory over Colombia's Nicolas Mejia giving the visitors an unassailable 3-1 lead in Bogota.
The New Zealand-raised British number one made it back-to-back straight-set wins at altitude on clay as he beat Mejia 6-4 6-4.
It meant Dan Evans was not required to play the final rubber against Nicolas Barrientos.
Evans and Neal Skupski won their doubles contest earlier on Saturday.
The British pair defeated former world number ones Juan Sebastian Cabal and Robert Farah 6-4 6-4 to turn the tie in GB's favour, after Norrie beat Barrientos on Friday to cancel out Evans' surprise opening loss to the 253rd-ranked Mejia.
"My feelings are of immense pride for what the boys have done," said GB captain Leon Smith.
"They went out and fought really hard. It never had to be the highest quality tennis because the conditions don't allow for that, but it needed a lot of grit and determination," he added.
The challenge of competing 2,566 metres above sea level and using the unfamiliar pressureless balls required to cope with the high altitude had led captain Smith to describe the trip as the "most complicated" his side could have drawn.
However, Norrie seized the opportunity to send 10-time winners GB into September's 16-team group stage with a hard-earned win at Pueblo Viejo Country Club.
Having punched the thinner air in celebration after forcing a first breakthrough in game seven, world number 11 Norrie was initially frustrated by an immediate response from Mejia, whose final winner prompted the excitable home support to erupt.
But the Wimbledon semi-finalist, 27, fired back once more to edge the first set - and then took firm control as he consolidated a break to move 4-2 ahead in the second.
Born in South Africa, Norrie spent his formative years in New Zealand before shifting to Great Britain, where he received greater financial support in his pursuit of a professional tennis career.
moved to
Who else is through?
Regarded as the 'men's World Cup of tennis', a record 155 nations entered this year's Davis Cup, with matches contested across 60 countries.
Great Britain's tie against Colombia was one of 12 qualifying matches taking place this week.
They have advanced to the group stage, to be held between 12-17 September across four venues, where they will be joined by last year's winners Canada, runners-up Australia, plus wildcards Italy and Spain.
US Open semi-finalist Tommy Paul helped the United States to a 4-0 win over Uzbekistan, while Serbia did not miss world number one Novak Djokovic as they also won all four rubbers against Norway.
Stan Wawrinka sealed a 3-2 win for Switzerland over Germany and Ugo Humbert prevailed in his fifth-rubber decider as France beat Hungary by the same score.
Brothers Elias and Mikael Ymer contributed to a 3-1 win for Sweden against Bosnia and Herzegovina, while Finland advanced to the group stage for the first time.
The Czech Republic, Chile, Croatia, South Korea and the Netherlands all also progressed.
- BBC