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Finding the Fourth Proportional to 2,449.76, 3,380.68 and 1,330.72

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Solution

The fourth proportional to 2,449.76, 3,380.68 and 1,330.72 is: 1,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.76 : 3,380.68 = 1,330.72 : x
  2. Step 2: Convert to fraction form
    2,449.76/3,380.68 = 1,330.72/x
  3. Step 3: Cross multiply
    2,449.76x = 3,380.68 × 1,330.72
  4. Step 4: Simplify right side
    2,449.76x = 4,498,730.04
  5. Step 5: Solve for x
    x = 4,498,730.04/2,449.76
  6. Step 6: Final answer
    x = 1,836.39

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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.