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Finding the Fourth Proportional to 2,722.31, 4,082.85 and 1,079.22

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Solution

The fourth proportional to 2,722.31, 4,082.85 and 1,079.22 is: 1,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.31 : 4,082.85 = 1,079.22 : x
  2. Step 2: Convert to fraction form
    2,722.31/4,082.85 = 1,079.22/x
  3. Step 3: Cross multiply
    2,722.31x = 4,082.85 × 1,079.22
  4. Step 4: Simplify right side
    2,722.31x = 4,406,293.38
  5. Step 5: Solve for x
    x = 4,406,293.38/2,722.31
  6. Step 6: Final answer
    x = 1,618.59

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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.