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Finding the Fourth Proportional to 2,263.87, 3,396.48 and 1,169.02

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Solution

The fourth proportional to 2,263.87, 3,396.48 and 1,169.02 is: 1,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.87 : 3,396.48 = 1,169.02 : x
  2. Step 2: Convert to fraction form
    2,263.87/3,396.48 = 1,169.02/x
  3. Step 3: Cross multiply
    2,263.87x = 3,396.48 × 1,169.02
  4. Step 4: Simplify right side
    2,263.87x = 3,970,553.05
  5. Step 5: Solve for x
    x = 3,970,553.05/2,263.87
  6. Step 6: Final answer
    x = 1,753.88

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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.