Home / 2,292.28-3,438.42-831.43

Finding the Fourth Proportional to 2,292.28, 3,438.42 and 831.43

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Solution

The fourth proportional to 2,292.28, 3,438.42 and 831.43 is: 1,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.28 : 3,438.42 = 831.43 : x
  2. Step 2: Convert to fraction form
    2,292.28/3,438.42 = 831.43/x
  3. Step 3: Cross multiply
    2,292.28x = 3,438.42 × 831.43
  4. Step 4: Simplify right side
    2,292.28x = 2,858,805.54
  5. Step 5: Solve for x
    x = 2,858,805.54/2,292.28
  6. Step 6: Final answer
    x = 1,247.15

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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.