Home / 2,023.28-3,034.92-562.43

Finding the Fourth Proportional to 2,023.28, 3,034.92 and 562.43

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Solution

The fourth proportional to 2,023.28, 3,034.92 and 562.43 is: 843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.28 : 3,034.92 = 562.43 : x
  2. Step 2: Convert to fraction form
    2,023.28/3,034.92 = 562.43/x
  3. Step 3: Cross multiply
    2,023.28x = 3,034.92 × 562.43
  4. Step 4: Simplify right side
    2,023.28x = 1,706,939.75
  5. Step 5: Solve for x
    x = 1,706,939.75/2,023.28
  6. Step 6: Final answer
    x = 843.65

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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.