Home / 2,031.24-3,046.92-731.76

Finding the Fourth Proportional to 2,031.24, 3,046.92 and 731.76

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Solution

The fourth proportional to 2,031.24, 3,046.92 and 731.76 is: 1,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.24 : 3,046.92 = 731.76 : x
  2. Step 2: Convert to fraction form
    2,031.24/3,046.92 = 731.76/x
  3. Step 3: Cross multiply
    2,031.24x = 3,046.92 × 731.76
  4. Step 4: Simplify right side
    2,031.24x = 2,229,614.18
  5. Step 5: Solve for x
    x = 2,229,614.18/2,031.24
  6. Step 6: Final answer
    x = 1,097.66

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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.