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Finding the Fourth Proportional to 3,196.86, 4,794.54 and 1,222.08

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Solution

The fourth proportional to 3,196.86, 4,794.54 and 1,222.08 is: 1,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.86 : 4,794.54 = 1,222.08 : x
  2. Step 2: Convert to fraction form
    3,196.86/4,794.54 = 1,222.08/x
  3. Step 3: Cross multiply
    3,196.86x = 4,794.54 × 1,222.08
  4. Step 4: Simplify right side
    3,196.86x = 5,859,311.44
  5. Step 5: Solve for x
    x = 5,859,311.44/3,196.86
  6. Step 6: Final answer
    x = 1,832.83

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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.