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Finding the Fourth Proportional to 2,449.76, 3,380.96 and 1,387.84

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Solution

The fourth proportional to 2,449.76, 3,380.96 and 1,387.84 is: 1,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.76 : 3,380.96 = 1,387.84 : x
  2. Step 2: Convert to fraction form
    2,449.76/3,380.96 = 1,387.84/x
  3. Step 3: Cross multiply
    2,449.76x = 3,380.96 × 1,387.84
  4. Step 4: Simplify right side
    2,449.76x = 4,692,231.53
  5. Step 5: Solve for x
    x = 4,692,231.53/2,449.76
  6. Step 6: Final answer
    x = 1,915.38

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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.