Home / 2,202.24-3,301.52-1,031.66

Finding the Fourth Proportional to 2,202.24, 3,301.52 and 1,031.66

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Solution

The fourth proportional to 2,202.24, 3,301.52 and 1,031.66 is: 1,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.24 : 3,301.52 = 1,031.66 : x
  2. Step 2: Convert to fraction form
    2,202.24/3,301.52 = 1,031.66/x
  3. Step 3: Cross multiply
    2,202.24x = 3,301.52 × 1,031.66
  4. Step 4: Simplify right side
    2,202.24x = 3,406,046.12
  5. Step 5: Solve for x
    x = 3,406,046.12/2,202.24
  6. Step 6: Final answer
    x = 1,546.63

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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.