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Finding the Fourth Proportional to 2,472.24, 3,702.64 and 2,253.52

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Solution

The fourth proportional to 2,472.24, 3,702.64 and 2,253.52 is: 3,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.24 : 3,702.64 = 2,253.52 : x
  2. Step 2: Convert to fraction form
    2,472.24/3,702.64 = 2,253.52/x
  3. Step 3: Cross multiply
    2,472.24x = 3,702.64 × 2,253.52
  4. Step 4: Simplify right side
    2,472.24x = 8,343,973.29
  5. Step 5: Solve for x
    x = 8,343,973.29/2,472.24
  6. Step 6: Final answer
    x = 3,375.07

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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.