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Finding the Fourth Proportional to 2,032.82, 3,049.22 and 799.55

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Solution

The fourth proportional to 2,032.82, 3,049.22 and 799.55 is: 1,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.82 : 3,049.22 = 799.55 : x
  2. Step 2: Convert to fraction form
    2,032.82/3,049.22 = 799.55/x
  3. Step 3: Cross multiply
    2,032.82x = 3,049.22 × 799.55
  4. Step 4: Simplify right side
    2,032.82x = 2,437,984.61
  5. Step 5: Solve for x
    x = 2,437,984.61/2,032.82
  6. Step 6: Final answer
    x = 1,199.31

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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.