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Finding the Fourth Proportional to 3,198.36, 4,796.79 and 1,223.58

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Solution

The fourth proportional to 3,198.36, 4,796.79 and 1,223.58 is: 1,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.36 : 4,796.79 = 1,223.58 : x
  2. Step 2: Convert to fraction form
    3,198.36/4,796.79 = 1,223.58/x
  3. Step 3: Cross multiply
    3,198.36x = 4,796.79 × 1,223.58
  4. Step 4: Simplify right side
    3,198.36x = 5,869,256.31
  5. Step 5: Solve for x
    x = 5,869,256.31/3,198.36
  6. Step 6: Final answer
    x = 1,835.08

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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.