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Finding the Fourth Proportional to 2,147.43, 3,221.43 and 831.15

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Solution

The fourth proportional to 2,147.43, 3,221.43 and 831.15 is: 1,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.43 : 3,221.43 = 831.15 : x
  2. Step 2: Convert to fraction form
    2,147.43/3,221.43 = 831.15/x
  3. Step 3: Cross multiply
    2,147.43x = 3,221.43 × 831.15
  4. Step 4: Simplify right side
    2,147.43x = 2,677,491.54
  5. Step 5: Solve for x
    x = 2,677,491.54/2,147.43
  6. Step 6: Final answer
    x = 1,246.84

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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.