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Finding the Fourth Proportional to 2,711.78, 4,067.58 and 1,150.78

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Solution

The fourth proportional to 2,711.78, 4,067.58 and 1,150.78 is: 1,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.78 : 4,067.58 = 1,150.78 : x
  2. Step 2: Convert to fraction form
    2,711.78/4,067.58 = 1,150.78/x
  3. Step 3: Cross multiply
    2,711.78x = 4,067.58 × 1,150.78
  4. Step 4: Simplify right side
    2,711.78x = 4,680,889.71
  5. Step 5: Solve for x
    x = 4,680,889.71/2,711.78
  6. Step 6: Final answer
    x = 1,726.13

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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.