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Finding the Fourth Proportional to 2,503.86, 3,755.22 and 944.04

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Solution

The fourth proportional to 2,503.86, 3,755.22 and 944.04 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.86 : 3,755.22 = 944.04 : x
  2. Step 2: Convert to fraction form
    2,503.86/3,755.22 = 944.04/x
  3. Step 3: Cross multiply
    2,503.86x = 3,755.22 × 944.04
  4. Step 4: Simplify right side
    2,503.86x = 3,545,077.89
  5. Step 5: Solve for x
    x = 3,545,077.89/2,503.86
  6. Step 6: Final answer
    x = 1,415.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.