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Finding the Fourth Proportional to 3,196.69, 4,793.52 and 1,116.44

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Solution

The fourth proportional to 3,196.69, 4,793.52 and 1,116.44 is: 1,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.69 : 4,793.52 = 1,116.44 : x
  2. Step 2: Convert to fraction form
    3,196.69/4,793.52 = 1,116.44/x
  3. Step 3: Cross multiply
    3,196.69x = 4,793.52 × 1,116.44
  4. Step 4: Simplify right side
    3,196.69x = 5,351,689.45
  5. Step 5: Solve for x
    x = 5,351,689.45/3,196.69
  6. Step 6: Final answer
    x = 1,674.14

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