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Finding the Fourth Proportional to 2,028.62, 3,042.97 and 567.74

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Solution

The fourth proportional to 2,028.62, 3,042.97 and 567.74 is: 851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.62 : 3,042.97 = 567.74 : x
  2. Step 2: Convert to fraction form
    2,028.62/3,042.97 = 567.74/x
  3. Step 3: Cross multiply
    2,028.62x = 3,042.97 × 567.74
  4. Step 4: Simplify right side
    2,028.62x = 1,727,621.98
  5. Step 5: Solve for x
    x = 1,727,621.98/2,028.62
  6. Step 6: Final answer
    x = 851.62

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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.