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Finding the Fourth Proportional to 3,295.78, 4,942.20 and 1,103.92

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Solution

The fourth proportional to 3,295.78, 4,942.20 and 1,103.92 is: 1,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.78 : 4,942.20 = 1,103.92 : x
  2. Step 2: Convert to fraction form
    3,295.78/4,942.20 = 1,103.92/x
  3. Step 3: Cross multiply
    3,295.78x = 4,942.20 × 1,103.92
  4. Step 4: Simplify right side
    3,295.78x = 5,455,793.42
  5. Step 5: Solve for x
    x = 5,455,793.42/3,295.78
  6. Step 6: Final answer
    x = 1,655.39

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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.