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Finding the Fourth Proportional to 2,449.96, 3,381.06 and 1,442.20

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Solution

The fourth proportional to 2,449.96, 3,381.06 and 1,442.20 is: 1,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.96 : 3,381.06 = 1,442.20 : x
  2. Step 2: Convert to fraction form
    2,449.96/3,381.06 = 1,442.20/x
  3. Step 3: Cross multiply
    2,449.96x = 3,381.06 × 1,442.20
  4. Step 4: Simplify right side
    2,449.96x = 4,876,164.73
  5. Step 5: Solve for x
    x = 4,876,164.73/2,449.96
  6. Step 6: Final answer
    x = 1,990.30

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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.