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Finding the Fourth Proportional to 2,428.71, 3,642.13 and 868.42

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Solution

The fourth proportional to 2,428.71, 3,642.13 and 868.42 is: 1,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.71 : 3,642.13 = 868.42 : x
  2. Step 2: Convert to fraction form
    2,428.71/3,642.13 = 868.42/x
  3. Step 3: Cross multiply
    2,428.71x = 3,642.13 × 868.42
  4. Step 4: Simplify right side
    2,428.71x = 3,162,898.53
  5. Step 5: Solve for x
    x = 3,162,898.53/2,428.71
  6. Step 6: Final answer
    x = 1,302.30

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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.