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Finding the Fourth Proportional to 2,757.68, 4,132.20 and 1,296.44

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Solution

The fourth proportional to 2,757.68, 4,132.20 and 1,296.44 is: 1,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.68 : 4,132.20 = 1,296.44 : x
  2. Step 2: Convert to fraction form
    2,757.68/4,132.20 = 1,296.44/x
  3. Step 3: Cross multiply
    2,757.68x = 4,132.20 × 1,296.44
  4. Step 4: Simplify right side
    2,757.68x = 5,357,149.37
  5. Step 5: Solve for x
    x = 5,357,149.37/2,757.68
  6. Step 6: Final answer
    x = 1,942.63

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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.