Instead of all the math stuff, I would do it trial and error. That way you know for sure.
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4,400' is a long way to run spaghetti line. Let me know how that works out for ya...
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As stated above the resistance is 75ft of head pressure for 2" pipe going 4400' horizontal.
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Your pressure drop along the run cannot be more than the difference.
Ex: 70 psi at the meter - 75psi for 2 inch pipe won't work.