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Finding the Fourth Proportional to 3,198.07, 4,796.80 and 1,117.69

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Solution

The fourth proportional to 3,198.07, 4,796.80 and 1,117.69 is: 1,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.07 : 4,796.80 = 1,117.69 : x
  2. Step 2: Convert to fraction form
    3,198.07/4,796.80 = 1,117.69/x
  3. Step 3: Cross multiply
    3,198.07x = 4,796.80 × 1,117.69
  4. Step 4: Simplify right side
    3,198.07x = 5,361,320.61
  5. Step 5: Solve for x
    x = 5,361,320.61/3,198.07
  6. Step 6: Final answer
    x = 1,676.43

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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.