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Finding the Fourth Proportional to 2,753.50, 3,794.87 and 2,006.28

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Solution

The fourth proportional to 2,753.50, 3,794.87 and 2,006.28 is: 2,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.50 : 3,794.87 = 2,006.28 : x
  2. Step 2: Convert to fraction form
    2,753.50/3,794.87 = 2,006.28/x
  3. Step 3: Cross multiply
    2,753.50x = 3,794.87 × 2,006.28
  4. Step 4: Simplify right side
    2,753.50x = 7,613,571.78
  5. Step 5: Solve for x
    x = 7,613,571.78/2,753.50
  6. Step 6: Final answer
    x = 2,765.05

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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.