Home / 2,023.74-3,033.78-724.92

Finding the Fourth Proportional to 2,023.74, 3,033.78 and 724.92

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Solution

The fourth proportional to 2,023.74, 3,033.78 and 724.92 is: 1,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.74 : 3,033.78 = 724.92 : x
  2. Step 2: Convert to fraction form
    2,023.74/3,033.78 = 724.92/x
  3. Step 3: Cross multiply
    2,023.74x = 3,033.78 × 724.92
  4. Step 4: Simplify right side
    2,023.74x = 2,199,247.80
  5. Step 5: Solve for x
    x = 2,199,247.80/2,023.74
  6. Step 6: Final answer
    x = 1,086.72

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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.