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Finding the Fourth Proportional to 2,757.97, 4,138.60 and 1,003.11

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Solution

The fourth proportional to 2,757.97, 4,138.60 and 1,003.11 is: 1,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.97 : 4,138.60 = 1,003.11 : x
  2. Step 2: Convert to fraction form
    2,757.97/4,138.60 = 1,003.11/x
  3. Step 3: Cross multiply
    2,757.97x = 4,138.60 × 1,003.11
  4. Step 4: Simplify right side
    2,757.97x = 4,151,471.05
  5. Step 5: Solve for x
    x = 4,151,471.05/2,757.97
  6. Step 6: Final answer
    x = 1,505.26

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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.