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Finding the Fourth Proportional to 3,026.90, 4,174.07 and 2,082.78

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Solution

The fourth proportional to 3,026.90, 4,174.07 and 2,082.78 is: 2,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.90 : 4,174.07 = 2,082.78 : x
  2. Step 2: Convert to fraction form
    3,026.90/4,174.07 = 2,082.78/x
  3. Step 3: Cross multiply
    3,026.90x = 4,174.07 × 2,082.78
  4. Step 4: Simplify right side
    3,026.90x = 8,693,659.10
  5. Step 5: Solve for x
    x = 8,693,659.10/3,026.90
  6. Step 6: Final answer
    x = 2,872.13

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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.