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Finding the Fourth Proportional to 2,167.30, 3,251.13 and 868.06

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Solution

The fourth proportional to 2,167.30, 3,251.13 and 868.06 is: 1,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.30 : 3,251.13 = 868.06 : x
  2. Step 2: Convert to fraction form
    2,167.30/3,251.13 = 868.06/x
  3. Step 3: Cross multiply
    2,167.30x = 3,251.13 × 868.06
  4. Step 4: Simplify right side
    2,167.30x = 2,822,175.91
  5. Step 5: Solve for x
    x = 2,822,175.91/2,167.30
  6. Step 6: Final answer
    x = 1,302.16

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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.