Home / 2,129.31-3,193.70-831.69

Finding the Fourth Proportional to 2,129.31, 3,193.70 and 831.69

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Solution

The fourth proportional to 2,129.31, 3,193.70 and 831.69 is: 1,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.31 : 3,193.70 = 831.69 : x
  2. Step 2: Convert to fraction form
    2,129.31/3,193.70 = 831.69/x
  3. Step 3: Cross multiply
    2,129.31x = 3,193.70 × 831.69
  4. Step 4: Simplify right side
    2,129.31x = 2,656,164.19
  5. Step 5: Solve for x
    x = 2,656,164.19/2,129.31
  6. Step 6: Final answer
    x = 1,247.43

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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.