The Argentinian had three chances to break his American opponent in the opening set, but it was Ram who got the break and claimed it 7-5.
Monaco struggled to get his first serves in the second set, but was strong while receiving and was able to claim two breaks against Ram's serve.
The American offered more resistance in the third set, playing a number of shots from the net, but Monaco was too strong from the baseline.
The length of the match started to take its toll on Ram in the fourth as his serving percentage dropped, allowing Monaco to quickly secure two breaks and eventually win the match 5-7 6-2 6-4 6-2.
He will face Kenny de Schepper in the next round.