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Finding the Fourth Proportional to 3,229.72, 4,454.50 and 2,167.14

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Solution

The fourth proportional to 3,229.72, 4,454.50 and 2,167.14 is: 2,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.72 : 4,454.50 = 2,167.14 : x
  2. Step 2: Convert to fraction form
    3,229.72/4,454.50 = 2,167.14/x
  3. Step 3: Cross multiply
    3,229.72x = 4,454.50 × 2,167.14
  4. Step 4: Simplify right side
    3,229.72x = 9,653,525.13
  5. Step 5: Solve for x
    x = 9,653,525.13/3,229.72
  6. Step 6: Final answer
    x = 2,988.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.