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Finding the Fourth Proportional to 1,727.63, 2,591.55 and 495.14

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Solution

The fourth proportional to 1,727.63, 2,591.55 and 495.14 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.63 : 2,591.55 = 495.14 : x
  2. Step 2: Convert to fraction form
    1,727.63/2,591.55 = 495.14/x
  3. Step 3: Cross multiply
    1,727.63x = 2,591.55 × 495.14
  4. Step 4: Simplify right side
    1,727.63x = 1,283,167.11
  5. Step 5: Solve for x
    x = 1,283,167.11/1,727.63
  6. Step 6: Final answer
    x = 742.73

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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.