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Finding the Fourth Proportional to 2,082.88, 2,874.26 and 1,296.92

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Solution

The fourth proportional to 2,082.88, 2,874.26 and 1,296.92 is: 1,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.88 : 2,874.26 = 1,296.92 : x
  2. Step 2: Convert to fraction form
    2,082.88/2,874.26 = 1,296.92/x
  3. Step 3: Cross multiply
    2,082.88x = 2,874.26 × 1,296.92
  4. Step 4: Simplify right side
    2,082.88x = 3,727,685.28
  5. Step 5: Solve for x
    x = 3,727,685.28/2,082.88
  6. Step 6: Final answer
    x = 1,789.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.