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Finding the Fourth Proportional to 2,723.67, 4,082.31 and 1,163.22

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Solution

The fourth proportional to 2,723.67, 4,082.31 and 1,163.22 is: 1,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.67 : 4,082.31 = 1,163.22 : x
  2. Step 2: Convert to fraction form
    2,723.67/4,082.31 = 1,163.22/x
  3. Step 3: Cross multiply
    2,723.67x = 4,082.31 × 1,163.22
  4. Step 4: Simplify right side
    2,723.67x = 4,748,624.64
  5. Step 5: Solve for x
    x = 4,748,624.64/2,723.67
  6. Step 6: Final answer
    x = 1,743.47

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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.