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Finding the Fourth Proportional to 2,757.44, 4,136.77 and 1,296.61

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Solution

The fourth proportional to 2,757.44, 4,136.77 and 1,296.61 is: 1,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.44 : 4,136.77 = 1,296.61 : x
  2. Step 2: Convert to fraction form
    2,757.44/4,136.77 = 1,296.61/x
  3. Step 3: Cross multiply
    2,757.44x = 4,136.77 × 1,296.61
  4. Step 4: Simplify right side
    2,757.44x = 5,363,768.63
  5. Step 5: Solve for x
    x = 5,363,768.63/2,757.44
  6. Step 6: Final answer
    x = 1,945.20

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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.