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Finding the Fourth Proportional to 2,042, 3,062.92 and 1,767.20

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Solution

The fourth proportional to 2,042, 3,062.92 and 1,767.20 is: 2,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 3,062.92 = 1,767.20 : x
  2. Step 2: Convert to fraction form
    2,042/3,062.92 = 1,767.20/x
  3. Step 3: Cross multiply
    2,042x = 3,062.92 × 1,767.20
  4. Step 4: Simplify right side
    2,042x = 5,412,792.22
  5. Step 5: Solve for x
    x = 5,412,792.22/2,042
  6. Step 6: Final answer
    x = 2,650.73

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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.