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Finding the Fourth Proportional to 2,287.52, 3,431.76 and 748.48

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Solution

The fourth proportional to 2,287.52, 3,431.76 and 748.48 is: 1,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.52 : 3,431.76 = 748.48 : x
  2. Step 2: Convert to fraction form
    2,287.52/3,431.76 = 748.48/x
  3. Step 3: Cross multiply
    2,287.52x = 3,431.76 × 748.48
  4. Step 4: Simplify right side
    2,287.52x = 2,568,603.72
  5. Step 5: Solve for x
    x = 2,568,603.72/2,287.52
  6. Step 6: Final answer
    x = 1,122.88

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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.