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Finding the Fourth Proportional to 2,753.14, 3,793.08 and 2,255.80

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Solution

The fourth proportional to 2,753.14, 3,793.08 and 2,255.80 is: 3,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.14 : 3,793.08 = 2,255.80 : x
  2. Step 2: Convert to fraction form
    2,753.14/3,793.08 = 2,255.80/x
  3. Step 3: Cross multiply
    2,753.14x = 3,793.08 × 2,255.80
  4. Step 4: Simplify right side
    2,753.14x = 8,556,429.86
  5. Step 5: Solve for x
    x = 8,556,429.86/2,753.14
  6. Step 6: Final answer
    x = 3,107.88

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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.