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Finding the Fourth Proportional to 2,695.32, 4,042.87 and 747.47

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Solution

The fourth proportional to 2,695.32, 4,042.87 and 747.47 is: 1,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.32 : 4,042.87 = 747.47 : x
  2. Step 2: Convert to fraction form
    2,695.32/4,042.87 = 747.47/x
  3. Step 3: Cross multiply
    2,695.32x = 4,042.87 × 747.47
  4. Step 4: Simplify right side
    2,695.32x = 3,021,932.28
  5. Step 5: Solve for x
    x = 3,021,932.28/2,695.32
  6. Step 6: Final answer
    x = 1,121.18

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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.