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Finding the Fourth Proportional to 2,428.59, 3,641.97 and 868.17

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Solution

The fourth proportional to 2,428.59, 3,641.97 and 868.17 is: 1,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.59 : 3,641.97 = 868.17 : x
  2. Step 2: Convert to fraction form
    2,428.59/3,641.97 = 868.17/x
  3. Step 3: Cross multiply
    2,428.59x = 3,641.97 × 868.17
  4. Step 4: Simplify right side
    2,428.59x = 3,161,849.09
  5. Step 5: Solve for x
    x = 3,161,849.09/2,428.59
  6. Step 6: Final answer
    x = 1,301.93

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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.