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Finding the Fourth Proportional to 2,711.53, 4,067.84 and 1,324.88

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Solution

The fourth proportional to 2,711.53, 4,067.84 and 1,324.88 is: 1,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.53 : 4,067.84 = 1,324.88 : x
  2. Step 2: Convert to fraction form
    2,711.53/4,067.84 = 1,324.88/x
  3. Step 3: Cross multiply
    2,711.53x = 4,067.84 × 1,324.88
  4. Step 4: Simplify right side
    2,711.53x = 5,389,399.86
  5. Step 5: Solve for x
    x = 5,389,399.86/2,711.53
  6. Step 6: Final answer
    x = 1,987.59

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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.