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Attempting to mosey onto the New Vegas Strip without enough cash on hand results in the Securitrons warning you to go back the way you came, eventually leading to a skirmish. You can get past security by having 2000 caps on hand, but why do that when you can talk to Ralph at Mick & Ralph's at Freeside? After speaking to him about his special services, he can offer you something, but only after you have impressed The King.
Find a way to do that or continue with some further digging. This reveals Ralph is crafting counterfeit passports. Obviously he want to keep this low key, so he offers you a passport for 500 caps, or with a Barter skill of 50, 375 caps. Once obtained, use it to pass the credit check at The Strip North Gate.
- Quest name from Fallout: New Vegas Official Game Guide