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Finding the Fourth Proportional to 2,244.67, 3,361.78 and 2,166.80

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Solution

The fourth proportional to 2,244.67, 3,361.78 and 2,166.80 is: 3,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.67 : 3,361.78 = 2,166.80 : x
  2. Step 2: Convert to fraction form
    2,244.67/3,361.78 = 2,166.80/x
  3. Step 3: Cross multiply
    2,244.67x = 3,361.78 × 2,166.80
  4. Step 4: Simplify right side
    2,244.67x = 7,284,294.07
  5. Step 5: Solve for x
    x = 7,284,294.07/2,244.67
  6. Step 6: Final answer
    x = 3,245.16

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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.