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Finding the Fourth Proportional to 2,469.32, 3,704.89 and 1,169.88

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Solution

The fourth proportional to 2,469.32, 3,704.89 and 1,169.88 is: 1,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.32 : 3,704.89 = 1,169.88 : x
  2. Step 2: Convert to fraction form
    2,469.32/3,704.89 = 1,169.88/x
  3. Step 3: Cross multiply
    2,469.32x = 3,704.89 × 1,169.88
  4. Step 4: Simplify right side
    2,469.32x = 4,334,276.71
  5. Step 5: Solve for x
    x = 4,334,276.71/2,469.32
  6. Step 6: Final answer
    x = 1,755.25

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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.