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Finding the Fourth Proportional to 2,449.42, 3,380.46 and 1,454.94

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Solution

The fourth proportional to 2,449.42, 3,380.46 and 1,454.94 is: 2,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.42 : 3,380.46 = 1,454.94 : x
  2. Step 2: Convert to fraction form
    2,449.42/3,380.46 = 1,454.94/x
  3. Step 3: Cross multiply
    2,449.42x = 3,380.46 × 1,454.94
  4. Step 4: Simplify right side
    2,449.42x = 4,918,366.47
  5. Step 5: Solve for x
    x = 4,918,366.47/2,449.42
  6. Step 6: Final answer
    x = 2,007.97

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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.