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Finding the Fourth Proportional to 3,197.86, 4,796.04 and 1,223.08

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Solution

The fourth proportional to 3,197.86, 4,796.04 and 1,223.08 is: 1,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.86 : 4,796.04 = 1,223.08 : x
  2. Step 2: Convert to fraction form
    3,197.86/4,796.04 = 1,223.08/x
  3. Step 3: Cross multiply
    3,197.86x = 4,796.04 × 1,223.08
  4. Step 4: Simplify right side
    3,197.86x = 5,865,940.60
  5. Step 5: Solve for x
    x = 5,865,940.60/3,197.86
  6. Step 6: Final answer
    x = 1,834.33

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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.