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Finding the Fourth Proportional to 2,449.84, 3,380.62 and 1,455.20

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Solution

The fourth proportional to 2,449.84, 3,380.62 and 1,455.20 is: 2,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.84 : 3,380.62 = 1,455.20 : x
  2. Step 2: Convert to fraction form
    2,449.84/3,380.62 = 1,455.20/x
  3. Step 3: Cross multiply
    2,449.84x = 3,380.62 × 1,455.20
  4. Step 4: Simplify right side
    2,449.84x = 4,919,454.04
  5. Step 5: Solve for x
    x = 4,919,454.04/2,449.84
  6. Step 6: Final answer
    x = 2,008.07

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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.