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Finding the Fourth Proportional to 2,397.76, 3,592.98 and 1,614.87

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Solution

The fourth proportional to 2,397.76, 3,592.98 and 1,614.87 is: 2,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.76 : 3,592.98 = 1,614.87 : x
  2. Step 2: Convert to fraction form
    2,397.76/3,592.98 = 1,614.87/x
  3. Step 3: Cross multiply
    2,397.76x = 3,592.98 × 1,614.87
  4. Step 4: Simplify right side
    2,397.76x = 5,802,195.61
  5. Step 5: Solve for x
    x = 5,802,195.61/2,397.76
  6. Step 6: Final answer
    x = 2,419.84

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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.