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Finding the Fourth Proportional to 2,377.25, 3,549.17 and 2,143.97

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Solution

The fourth proportional to 2,377.25, 3,549.17 and 2,143.97 is: 3,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.25 : 3,549.17 = 2,143.97 : x
  2. Step 2: Convert to fraction form
    2,377.25/3,549.17 = 2,143.97/x
  3. Step 3: Cross multiply
    2,377.25x = 3,549.17 × 2,143.97
  4. Step 4: Simplify right side
    2,377.25x = 7,609,285.54
  5. Step 5: Solve for x
    x = 7,609,285.54/2,377.25
  6. Step 6: Final answer
    x = 3,200.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.