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Finding the Fourth Proportional to 2,001.60, 2,761.36 and 1,255.05

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Solution

The fourth proportional to 2,001.60, 2,761.36 and 1,255.05 is: 1,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.60 : 2,761.36 = 1,255.05 : x
  2. Step 2: Convert to fraction form
    2,001.60/2,761.36 = 1,255.05/x
  3. Step 3: Cross multiply
    2,001.60x = 2,761.36 × 1,255.05
  4. Step 4: Simplify right side
    2,001.60x = 3,465,641.73
  5. Step 5: Solve for x
    x = 3,465,641.73/2,001.60
  6. Step 6: Final answer
    x = 1,731.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.