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Finding the Fourth Proportional to 1,727.80, 2,591.30 and 494.87

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Solution

The fourth proportional to 1,727.80, 2,591.30 and 494.87 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.80 : 2,591.30 = 494.87 : x
  2. Step 2: Convert to fraction form
    1,727.80/2,591.30 = 494.87/x
  3. Step 3: Cross multiply
    1,727.80x = 2,591.30 × 494.87
  4. Step 4: Simplify right side
    1,727.80x = 1,282,344.91
  5. Step 5: Solve for x
    x = 1,282,344.91/1,727.80
  6. Step 6: Final answer
    x = 742.18

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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.