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Finding the Fourth Proportional to 3,240.72, 4,472.10 and 1,824.48

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Solution

The fourth proportional to 3,240.72, 4,472.10 and 1,824.48 is: 2,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.72 : 4,472.10 = 1,824.48 : x
  2. Step 2: Convert to fraction form
    3,240.72/4,472.10 = 1,824.48/x
  3. Step 3: Cross multiply
    3,240.72x = 4,472.10 × 1,824.48
  4. Step 4: Simplify right side
    3,240.72x = 8,159,257.01
  5. Step 5: Solve for x
    x = 8,159,257.01/3,240.72
  6. Step 6: Final answer
    x = 2,517.73

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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.