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Finding the Fourth Proportional to 2,697.68, 4,046.28 and 966.32

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Solution

The fourth proportional to 2,697.68, 4,046.28 and 966.32 is: 1,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.68 : 4,046.28 = 966.32 : x
  2. Step 2: Convert to fraction form
    2,697.68/4,046.28 = 966.32/x
  3. Step 3: Cross multiply
    2,697.68x = 4,046.28 × 966.32
  4. Step 4: Simplify right side
    2,697.68x = 3,910,001.29
  5. Step 5: Solve for x
    x = 3,910,001.29/2,697.68
  6. Step 6: Final answer
    x = 1,449.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.