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Finding the Fourth Proportional to 1,359.88, 2,040.57 and 1,255.39

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Solution

The fourth proportional to 1,359.88, 2,040.57 and 1,255.39 is: 1,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.88 : 2,040.57 = 1,255.39 : x
  2. Step 2: Convert to fraction form
    1,359.88/2,040.57 = 1,255.39/x
  3. Step 3: Cross multiply
    1,359.88x = 2,040.57 × 1,255.39
  4. Step 4: Simplify right side
    1,359.88x = 2,561,711.17
  5. Step 5: Solve for x
    x = 2,561,711.17/1,359.88
  6. Step 6: Final answer
    x = 1,883.78

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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.