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Finding the Fourth Proportional to 1,727.43, 2,589.62 and 686.91

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Solution

The fourth proportional to 1,727.43, 2,589.62 and 686.91 is: 1,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.43 : 2,589.62 = 686.91 : x
  2. Step 2: Convert to fraction form
    1,727.43/2,589.62 = 686.91/x
  3. Step 3: Cross multiply
    1,727.43x = 2,589.62 × 686.91
  4. Step 4: Simplify right side
    1,727.43x = 1,778,832.44
  5. Step 5: Solve for x
    x = 1,778,832.44/1,727.43
  6. Step 6: Final answer
    x = 1,029.76

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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.