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Finding the Fourth Proportional to 2,000.20, 2,761.56 and 1,255.18

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Solution

The fourth proportional to 2,000.20, 2,761.56 and 1,255.18 is: 1,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.20 : 2,761.56 = 1,255.18 : x
  2. Step 2: Convert to fraction form
    2,000.20/2,761.56 = 1,255.18/x
  3. Step 3: Cross multiply
    2,000.20x = 2,761.56 × 1,255.18
  4. Step 4: Simplify right side
    2,000.20x = 3,466,254.88
  5. Step 5: Solve for x
    x = 3,466,254.88/2,000.20
  6. Step 6: Final answer
    x = 1,732.95

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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.