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Finding the Fourth Proportional to 3,196.44, 4,793.50 and 1,115.86

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Solution

The fourth proportional to 3,196.44, 4,793.50 and 1,115.86 is: 1,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.44 : 4,793.50 = 1,115.86 : x
  2. Step 2: Convert to fraction form
    3,196.44/4,793.50 = 1,115.86/x
  3. Step 3: Cross multiply
    3,196.44x = 4,793.50 × 1,115.86
  4. Step 4: Simplify right side
    3,196.44x = 5,348,874.91
  5. Step 5: Solve for x
    x = 5,348,874.91/3,196.44
  6. Step 6: Final answer
    x = 1,673.39

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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.