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Finding the Fourth Proportional to 2,361.12, 3,244.20 and 2,209.44

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Solution

The fourth proportional to 2,361.12, 3,244.20 and 2,209.44 is: 3,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.12 : 3,244.20 = 2,209.44 : x
  2. Step 2: Convert to fraction form
    2,361.12/3,244.20 = 2,209.44/x
  3. Step 3: Cross multiply
    2,361.12x = 3,244.20 × 2,209.44
  4. Step 4: Simplify right side
    2,361.12x = 7,167,865.25
  5. Step 5: Solve for x
    x = 7,167,865.25/2,361.12
  6. Step 6: Final answer
    x = 3,035.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.