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Finding the Fourth Proportional to 2,468.25, 3,704.20 and 1,169.72

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Solution

The fourth proportional to 2,468.25, 3,704.20 and 1,169.72 is: 1,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.25 : 3,704.20 = 1,169.72 : x
  2. Step 2: Convert to fraction form
    2,468.25/3,704.20 = 1,169.72/x
  3. Step 3: Cross multiply
    2,468.25x = 3,704.20 × 1,169.72
  4. Step 4: Simplify right side
    2,468.25x = 4,332,876.82
  5. Step 5: Solve for x
    x = 4,332,876.82/2,468.25
  6. Step 6: Final answer
    x = 1,755.44

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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.