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Finding the Fourth Proportional to 2,449.88, 3,380.63 and 1,441.42

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Solution

The fourth proportional to 2,449.88, 3,380.63 and 1,441.42 is: 1,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.88 : 3,380.63 = 1,441.42 : x
  2. Step 2: Convert to fraction form
    2,449.88/3,380.63 = 1,441.42/x
  3. Step 3: Cross multiply
    2,449.88x = 3,380.63 × 1,441.42
  4. Step 4: Simplify right side
    2,449.88x = 4,872,922.60
  5. Step 5: Solve for x
    x = 4,872,922.60/2,449.88
  6. Step 6: Final answer
    x = 1,989.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.