Home / 2,023.60-3,034.32-724.36

Finding the Fourth Proportional to 2,023.60, 3,034.32 and 724.36

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Solution

The fourth proportional to 2,023.60, 3,034.32 and 724.36 is: 1,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.60 : 3,034.32 = 724.36 : x
  2. Step 2: Convert to fraction form
    2,023.60/3,034.32 = 724.36/x
  3. Step 3: Cross multiply
    2,023.60x = 3,034.32 × 724.36
  4. Step 4: Simplify right side
    2,023.60x = 2,197,940.04
  5. Step 5: Solve for x
    x = 2,197,940.04/2,023.60
  6. Step 6: Final answer
    x = 1,086.15

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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.