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Finding the Fourth Proportional to 1,502.24, 2,257.61 and 886.23

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Solution

The fourth proportional to 1,502.24, 2,257.61 and 886.23 is: 1,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.24 : 2,257.61 = 886.23 : x
  2. Step 2: Convert to fraction form
    1,502.24/2,257.61 = 886.23/x
  3. Step 3: Cross multiply
    1,502.24x = 2,257.61 × 886.23
  4. Step 4: Simplify right side
    1,502.24x = 2,000,757.28
  5. Step 5: Solve for x
    x = 2,000,757.28/1,502.24
  6. Step 6: Final answer
    x = 1,331.85

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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.