Home / 2,032.31-3,047.10-733.61

Finding the Fourth Proportional to 2,032.31, 3,047.10 and 733.61

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Solution

The fourth proportional to 2,032.31, 3,047.10 and 733.61 is: 1,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.31 : 3,047.10 = 733.61 : x
  2. Step 2: Convert to fraction form
    2,032.31/3,047.10 = 733.61/x
  3. Step 3: Cross multiply
    2,032.31x = 3,047.10 × 733.61
  4. Step 4: Simplify right side
    2,032.31x = 2,235,383.03
  5. Step 5: Solve for x
    x = 2,235,383.03/2,032.31
  6. Step 6: Final answer
    x = 1,099.92

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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.