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Finding the Fourth Proportional to 2,493.12, 3,739.78 and 932.96

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Solution

The fourth proportional to 2,493.12, 3,739.78 and 932.96 is: 1,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.12 : 3,739.78 = 932.96 : x
  2. Step 2: Convert to fraction form
    2,493.12/3,739.78 = 932.96/x
  3. Step 3: Cross multiply
    2,493.12x = 3,739.78 × 932.96
  4. Step 4: Simplify right side
    2,493.12x = 3,489,065.15
  5. Step 5: Solve for x
    x = 3,489,065.15/2,493.12
  6. Step 6: Final answer
    x = 1,399.48

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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.