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Finding the Fourth Proportional to 2,028.27, 3,042.92 and 567.43

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Solution

The fourth proportional to 2,028.27, 3,042.92 and 567.43 is: 851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.27 : 3,042.92 = 567.43 : x
  2. Step 2: Convert to fraction form
    2,028.27/3,042.92 = 567.43/x
  3. Step 3: Cross multiply
    2,028.27x = 3,042.92 × 567.43
  4. Step 4: Simplify right side
    2,028.27x = 1,726,644.10
  5. Step 5: Solve for x
    x = 1,726,644.10/2,028.27
  6. Step 6: Final answer
    x = 851.29

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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.