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Finding the Fourth Proportional to 2,562.97, 3,845.22 and 1,003.27

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Solution

The fourth proportional to 2,562.97, 3,845.22 and 1,003.27 is: 1,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.97 : 3,845.22 = 1,003.27 : x
  2. Step 2: Convert to fraction form
    2,562.97/3,845.22 = 1,003.27/x
  3. Step 3: Cross multiply
    2,562.97x = 3,845.22 × 1,003.27
  4. Step 4: Simplify right side
    2,562.97x = 3,857,793.87
  5. Step 5: Solve for x
    x = 3,857,793.87/2,562.97
  6. Step 6: Final answer
    x = 1,505.20

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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.