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Finding the Fourth Proportional to 3,196.67, 4,793.39 and 1,463.81

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Solution

The fourth proportional to 3,196.67, 4,793.39 and 1,463.81 is: 2,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.67 : 4,793.39 = 1,463.81 : x
  2. Step 2: Convert to fraction form
    3,196.67/4,793.39 = 1,463.81/x
  3. Step 3: Cross multiply
    3,196.67x = 4,793.39 × 1,463.81
  4. Step 4: Simplify right side
    3,196.67x = 7,016,616.88
  5. Step 5: Solve for x
    x = 7,016,616.88/3,196.67
  6. Step 6: Final answer
    x = 2,194.98

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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.