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Finding the Fourth Proportional to 2,512.42, 3,767.46 and 1,472.74

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Solution

The fourth proportional to 2,512.42, 3,767.46 and 1,472.74 is: 2,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.42 : 3,767.46 = 1,472.74 : x
  2. Step 2: Convert to fraction form
    2,512.42/3,767.46 = 1,472.74/x
  3. Step 3: Cross multiply
    2,512.42x = 3,767.46 × 1,472.74
  4. Step 4: Simplify right side
    2,512.42x = 5,548,489.04
  5. Step 5: Solve for x
    x = 5,548,489.04/2,512.42
  6. Step 6: Final answer
    x = 2,208.42

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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.