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Finding the Fourth Proportional to 2,217.11, 3,326.95 and 831.41

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Solution

The fourth proportional to 2,217.11, 3,326.95 and 831.41 is: 1,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.11 : 3,326.95 = 831.41 : x
  2. Step 2: Convert to fraction form
    2,217.11/3,326.95 = 831.41/x
  3. Step 3: Cross multiply
    2,217.11x = 3,326.95 × 831.41
  4. Step 4: Simplify right side
    2,217.11x = 2,766,062.23
  5. Step 5: Solve for x
    x = 2,766,062.23/2,217.11
  6. Step 6: Final answer
    x = 1,247.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.