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Finding the Fourth Proportional to 2,028.65, 3,042.83 and 567.74

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Solution

The fourth proportional to 2,028.65, 3,042.83 and 567.74 is: 851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.65 : 3,042.83 = 567.74 : x
  2. Step 2: Convert to fraction form
    2,028.65/3,042.83 = 567.74/x
  3. Step 3: Cross multiply
    2,028.65x = 3,042.83 × 567.74
  4. Step 4: Simplify right side
    2,028.65x = 1,727,545.33
  5. Step 5: Solve for x
    x = 1,727,545.33/2,028.65
  6. Step 6: Final answer
    x = 851.58

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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.