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Finding the Fourth Proportional to 2,449.32, 3,380.72 and 2,008.24

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Solution

The fourth proportional to 2,449.32, 3,380.72 and 2,008.24 is: 2,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.32 : 3,380.72 = 2,008.24 : x
  2. Step 2: Convert to fraction form
    2,449.32/3,380.72 = 2,008.24/x
  3. Step 3: Cross multiply
    2,449.32x = 3,380.72 × 2,008.24
  4. Step 4: Simplify right side
    2,449.32x = 6,789,297.13
  5. Step 5: Solve for x
    x = 6,789,297.13/2,449.32
  6. Step 6: Final answer
    x = 2,771.91

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Why These Related Problems?

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