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Finding the Fourth Proportional to 2,761.47, 4,139.87 and 1,200.28

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Solution

The fourth proportional to 2,761.47, 4,139.87 and 1,200.28 is: 1,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.47 : 4,139.87 = 1,200.28 : x
  2. Step 2: Convert to fraction form
    2,761.47/4,139.87 = 1,200.28/x
  3. Step 3: Cross multiply
    2,761.47x = 4,139.87 × 1,200.28
  4. Step 4: Simplify right side
    2,761.47x = 4,969,003.16
  5. Step 5: Solve for x
    x = 4,969,003.16/2,761.47
  6. Step 6: Final answer
    x = 1,799.41

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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.