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Finding the Fourth Proportional to 2,721.87, 3,757.43 and 2,229.80

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Solution

The fourth proportional to 2,721.87, 3,757.43 and 2,229.80 is: 3,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.87 : 3,757.43 = 2,229.80 : x
  2. Step 2: Convert to fraction form
    2,721.87/3,757.43 = 2,229.80/x
  3. Step 3: Cross multiply
    2,721.87x = 3,757.43 × 2,229.80
  4. Step 4: Simplify right side
    2,721.87x = 8,378,287.48
  5. Step 5: Solve for x
    x = 8,378,287.48/2,721.87
  6. Step 6: Final answer
    x = 3,078.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.