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Finding the Fourth Proportional to 3,197.98, 4,796.01 and 1,441.97

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Solution

The fourth proportional to 3,197.98, 4,796.01 and 1,441.97 is: 2,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.98 : 4,796.01 = 1,441.97 : x
  2. Step 2: Convert to fraction form
    3,197.98/4,796.01 = 1,441.97/x
  3. Step 3: Cross multiply
    3,197.98x = 4,796.01 × 1,441.97
  4. Step 4: Simplify right side
    3,197.98x = 6,915,702.54
  5. Step 5: Solve for x
    x = 6,915,702.54/3,197.98
  6. Step 6: Final answer
    x = 2,162.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.