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Finding the Fourth Proportional to 1,727.88, 2,591.90 and 495.38

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Solution

The fourth proportional to 1,727.88, 2,591.90 and 495.38 is: 743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.88 : 2,591.90 = 495.38 : x
  2. Step 2: Convert to fraction form
    1,727.88/2,591.90 = 495.38/x
  3. Step 3: Cross multiply
    1,727.88x = 2,591.90 × 495.38
  4. Step 4: Simplify right side
    1,727.88x = 1,283,975.42
  5. Step 5: Solve for x
    x = 1,283,975.42/1,727.88
  6. Step 6: Final answer
    x = 743.09

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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.