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Finding the Fourth Proportional to 2,218.09, 3,327.71 and 831.54

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Solution

The fourth proportional to 2,218.09, 3,327.71 and 831.54 is: 1,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.09 : 3,327.71 = 831.54 : x
  2. Step 2: Convert to fraction form
    2,218.09/3,327.71 = 831.54/x
  3. Step 3: Cross multiply
    2,218.09x = 3,327.71 × 831.54
  4. Step 4: Simplify right side
    2,218.09x = 2,767,123.97
  5. Step 5: Solve for x
    x = 2,767,123.97/2,218.09
  6. Step 6: Final answer
    x = 1,247.53

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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.