Home / 2,032.52-3,046.92-733.70

Finding the Fourth Proportional to 2,032.52, 3,046.92 and 733.70

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Solution

The fourth proportional to 2,032.52, 3,046.92 and 733.70 is: 1,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.52 : 3,046.92 = 733.70 : x
  2. Step 2: Convert to fraction form
    2,032.52/3,046.92 = 733.70/x
  3. Step 3: Cross multiply
    2,032.52x = 3,046.92 × 733.70
  4. Step 4: Simplify right side
    2,032.52x = 2,235,525.20
  5. Step 5: Solve for x
    x = 2,235,525.20/2,032.52
  6. Step 6: Final answer
    x = 1,099.88

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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.