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Finding the Fourth Proportional to 2,028.82, 3,042.80 and 567.66

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Solution

The fourth proportional to 2,028.82, 3,042.80 and 567.66 is: 851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.82 : 3,042.80 = 567.66 : x
  2. Step 2: Convert to fraction form
    2,028.82/3,042.80 = 567.66/x
  3. Step 3: Cross multiply
    2,028.82x = 3,042.80 × 567.66
  4. Step 4: Simplify right side
    2,028.82x = 1,727,275.85
  5. Step 5: Solve for x
    x = 1,727,275.85/2,028.82
  6. Step 6: Final answer
    x = 851.37

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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.