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Finding the Fourth Proportional to 2,549.52, 3,517.17 and 1,665

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Solution

The fourth proportional to 2,549.52, 3,517.17 and 1,665 is: 2,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.52 : 3,517.17 = 1,665 : x
  2. Step 2: Convert to fraction form
    2,549.52/3,517.17 = 1,665/x
  3. Step 3: Cross multiply
    2,549.52x = 3,517.17 × 1,665
  4. Step 4: Simplify right side
    2,549.52x = 5,856,088.05
  5. Step 5: Solve for x
    x = 5,856,088.05/2,549.52
  6. Step 6: Final answer
    x = 2,296.94

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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.