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Finding the Fourth Proportional to 2,447.28, 3,672.72 and 1,524.20

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Solution

The fourth proportional to 2,447.28, 3,672.72 and 1,524.20 is: 2,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.28 : 3,672.72 = 1,524.20 : x
  2. Step 2: Convert to fraction form
    2,447.28/3,672.72 = 1,524.20/x
  3. Step 3: Cross multiply
    2,447.28x = 3,672.72 × 1,524.20
  4. Step 4: Simplify right side
    2,447.28x = 5,597,941.46
  5. Step 5: Solve for x
    x = 5,597,941.46/2,447.28
  6. Step 6: Final answer
    x = 2,287.41

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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.