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Finding the Fourth Proportional to 2,028.62, 3,042.96 and 567.80

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Solution

The fourth proportional to 2,028.62, 3,042.96 and 567.80 is: 851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.62 : 3,042.96 = 567.80 : x
  2. Step 2: Convert to fraction form
    2,028.62/3,042.96 = 567.80/x
  3. Step 3: Cross multiply
    2,028.62x = 3,042.96 × 567.80
  4. Step 4: Simplify right side
    2,028.62x = 1,727,792.69
  5. Step 5: Solve for x
    x = 1,727,792.69/2,028.62
  6. Step 6: Final answer
    x = 851.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.