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Finding the Fourth Proportional to 2,218.01, 3,327.59 and 831.46

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Solution

The fourth proportional to 2,218.01, 3,327.59 and 831.46 is: 1,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.01 : 3,327.59 = 831.46 : x
  2. Step 2: Convert to fraction form
    2,218.01/3,327.59 = 831.46/x
  3. Step 3: Cross multiply
    2,218.01x = 3,327.59 × 831.46
  4. Step 4: Simplify right side
    2,218.01x = 2,766,757.98
  5. Step 5: Solve for x
    x = 2,766,757.98/2,218.01
  6. Step 6: Final answer
    x = 1,247.41

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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.