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Finding the Fourth Proportional to 1,727.38, 2,591.48 and 573.13

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Solution

The fourth proportional to 1,727.38, 2,591.48 and 573.13 is: 859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.38 : 2,591.48 = 573.13 : x
  2. Step 2: Convert to fraction form
    1,727.38/2,591.48 = 573.13/x
  3. Step 3: Cross multiply
    1,727.38x = 2,591.48 × 573.13
  4. Step 4: Simplify right side
    1,727.38x = 1,485,239.11
  5. Step 5: Solve for x
    x = 1,485,239.11/1,727.38
  6. Step 6: Final answer
    x = 859.82

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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.