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Finding the Fourth Proportional to 1,966.26, 2,713.42 and 1,082.04

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Solution

The fourth proportional to 1,966.26, 2,713.42 and 1,082.04 is: 1,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.26 : 2,713.42 = 1,082.04 : x
  2. Step 2: Convert to fraction form
    1,966.26/2,713.42 = 1,082.04/x
  3. Step 3: Cross multiply
    1,966.26x = 2,713.42 × 1,082.04
  4. Step 4: Simplify right side
    1,966.26x = 2,936,029.33
  5. Step 5: Solve for x
    x = 2,936,029.33/1,966.26
  6. Step 6: Final answer
    x = 1,493.21

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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.