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Finding the Fourth Proportional to 2,486.32, 3,729.56 and 754.96

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Solution

The fourth proportional to 2,486.32, 3,729.56 and 754.96 is: 1,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.32 : 3,729.56 = 754.96 : x
  2. Step 2: Convert to fraction form
    2,486.32/3,729.56 = 754.96/x
  3. Step 3: Cross multiply
    2,486.32x = 3,729.56 × 754.96
  4. Step 4: Simplify right side
    2,486.32x = 2,815,668.62
  5. Step 5: Solve for x
    x = 2,815,668.62/2,486.32
  6. Step 6: Final answer
    x = 1,132.46

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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.