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Finding the Fourth Proportional to 2,032.62, 3,049.11 and 571.79

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Solution

The fourth proportional to 2,032.62, 3,049.11 and 571.79 is: 857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.62 : 3,049.11 = 571.79 : x
  2. Step 2: Convert to fraction form
    2,032.62/3,049.11 = 571.79/x
  3. Step 3: Cross multiply
    2,032.62x = 3,049.11 × 571.79
  4. Step 4: Simplify right side
    2,032.62x = 1,743,435.36
  5. Step 5: Solve for x
    x = 1,743,435.36/2,032.62
  6. Step 6: Final answer
    x = 857.73

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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.