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Finding the Fourth Proportional to 2,723.52, 4,082.82 and 991.74

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Solution

The fourth proportional to 2,723.52, 4,082.82 and 991.74 is: 1,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.52 : 4,082.82 = 991.74 : x
  2. Step 2: Convert to fraction form
    2,723.52/4,082.82 = 991.74/x
  3. Step 3: Cross multiply
    2,723.52x = 4,082.82 × 991.74
  4. Step 4: Simplify right side
    2,723.52x = 4,049,095.91
  5. Step 5: Solve for x
    x = 4,049,095.91/2,723.52
  6. Step 6: Final answer
    x = 1,486.71

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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.