Home / 2,023.38-3,033.25-723.94

Finding the Fourth Proportional to 2,023.38, 3,033.25 and 723.94

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Solution

The fourth proportional to 2,023.38, 3,033.25 and 723.94 is: 1,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.38 : 3,033.25 = 723.94 : x
  2. Step 2: Convert to fraction form
    2,023.38/3,033.25 = 723.94/x
  3. Step 3: Cross multiply
    2,023.38x = 3,033.25 × 723.94
  4. Step 4: Simplify right side
    2,023.38x = 2,195,881.61
  5. Step 5: Solve for x
    x = 2,195,881.61/2,023.38
  6. Step 6: Final answer
    x = 1,085.25

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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.