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Finding the Fourth Proportional to 2,167.62, 3,250.89 and 868.38

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Solution

The fourth proportional to 2,167.62, 3,250.89 and 868.38 is: 1,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.62 : 3,250.89 = 868.38 : x
  2. Step 2: Convert to fraction form
    2,167.62/3,250.89 = 868.38/x
  3. Step 3: Cross multiply
    2,167.62x = 3,250.89 × 868.38
  4. Step 4: Simplify right side
    2,167.62x = 2,823,007.86
  5. Step 5: Solve for x
    x = 2,823,007.86/2,167.62
  6. Step 6: Final answer
    x = 1,302.35

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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.