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Finding the Fourth Proportional to 2,781.59, 4,169.96 and 1,137.09

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Solution

The fourth proportional to 2,781.59, 4,169.96 and 1,137.09 is: 1,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.59 : 4,169.96 = 1,137.09 : x
  2. Step 2: Convert to fraction form
    2,781.59/4,169.96 = 1,137.09/x
  3. Step 3: Cross multiply
    2,781.59x = 4,169.96 × 1,137.09
  4. Step 4: Simplify right side
    2,781.59x = 4,741,616.97
  5. Step 5: Solve for x
    x = 4,741,616.97/2,781.59
  6. Step 6: Final answer
    x = 1,704.64

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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.