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Finding the Fourth Proportional to 3,198.57, 4,797.45 and 1,963.80

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Solution

The fourth proportional to 3,198.57, 4,797.45 and 1,963.80 is: 2,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.57 : 4,797.45 = 1,963.80 : x
  2. Step 2: Convert to fraction form
    3,198.57/4,797.45 = 1,963.80/x
  3. Step 3: Cross multiply
    3,198.57x = 4,797.45 × 1,963.80
  4. Step 4: Simplify right side
    3,198.57x = 9,421,232.31
  5. Step 5: Solve for x
    x = 9,421,232.31/3,198.57
  6. Step 6: Final answer
    x = 2,945.45

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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.