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Finding the Fourth Proportional to 2,032.32, 3,049.92 and 733.80

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Solution

The fourth proportional to 2,032.32, 3,049.92 and 733.80 is: 1,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.32 : 3,049.92 = 733.80 : x
  2. Step 2: Convert to fraction form
    2,032.32/3,049.92 = 733.80/x
  3. Step 3: Cross multiply
    2,032.32x = 3,049.92 × 733.80
  4. Step 4: Simplify right side
    2,032.32x = 2,238,031.30
  5. Step 5: Solve for x
    x = 2,238,031.30/2,032.32
  6. Step 6: Final answer
    x = 1,101.22

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