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Finding the Fourth Proportional to 2,241.42, 3,365.78 and 2,224.41

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Solution

The fourth proportional to 2,241.42, 3,365.78 and 2,224.41 is: 3,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.42 : 3,365.78 = 2,224.41 : x
  2. Step 2: Convert to fraction form
    2,241.42/3,365.78 = 2,224.41/x
  3. Step 3: Cross multiply
    2,241.42x = 3,365.78 × 2,224.41
  4. Step 4: Simplify right side
    2,241.42x = 7,486,863.57
  5. Step 5: Solve for x
    x = 7,486,863.57/2,241.42
  6. Step 6: Final answer
    x = 3,340.23

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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.