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Finding the Fourth Proportional to 3,294.70, 4,942.06 and 1,103.15

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Solution

The fourth proportional to 3,294.70, 4,942.06 and 1,103.15 is: 1,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.70 : 4,942.06 = 1,103.15 : x
  2. Step 2: Convert to fraction form
    3,294.70/4,942.06 = 1,103.15/x
  3. Step 3: Cross multiply
    3,294.70x = 4,942.06 × 1,103.15
  4. Step 4: Simplify right side
    3,294.70x = 5,451,843.09
  5. Step 5: Solve for x
    x = 5,451,843.09/3,294.70
  6. Step 6: Final answer
    x = 1,654.73

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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.