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Finding the Fourth Proportional to 2,167.04, 3,248.52 and 868.61

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Solution

The fourth proportional to 2,167.04, 3,248.52 and 868.61 is: 1,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.04 : 3,248.52 = 868.61 : x
  2. Step 2: Convert to fraction form
    2,167.04/3,248.52 = 868.61/x
  3. Step 3: Cross multiply
    2,167.04x = 3,248.52 × 868.61
  4. Step 4: Simplify right side
    2,167.04x = 2,821,680.71
  5. Step 5: Solve for x
    x = 2,821,680.71/2,167.04
  6. Step 6: Final answer
    x = 1,302.09

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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.