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Finding the Fourth Proportional to 2,167.23, 3,251.15 and 686.87

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Solution

The fourth proportional to 2,167.23, 3,251.15 and 686.87 is: 1,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.23 : 3,251.15 = 686.87 : x
  2. Step 2: Convert to fraction form
    2,167.23/3,251.15 = 686.87/x
  3. Step 3: Cross multiply
    2,167.23x = 3,251.15 × 686.87
  4. Step 4: Simplify right side
    2,167.23x = 2,233,097.71
  5. Step 5: Solve for x
    x = 2,233,097.71/2,167.23
  6. Step 6: Final answer
    x = 1,030.39

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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.