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Finding the Fourth Proportional to 2,218.38, 3,327.66 and 831.84

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Solution

The fourth proportional to 2,218.38, 3,327.66 and 831.84 is: 1,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.38 : 3,327.66 = 831.84 : x
  2. Step 2: Convert to fraction form
    2,218.38/3,327.66 = 831.84/x
  3. Step 3: Cross multiply
    2,218.38x = 3,327.66 × 831.84
  4. Step 4: Simplify right side
    2,218.38x = 2,768,080.69
  5. Step 5: Solve for x
    x = 2,768,080.69/2,218.38
  6. Step 6: Final answer
    x = 1,247.79

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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.