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Finding the Fourth Proportional to 3,197.66, 4,796.28 and 1,965.26

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Solution

The fourth proportional to 3,197.66, 4,796.28 and 1,965.26 is: 2,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.66 : 4,796.28 = 1,965.26 : x
  2. Step 2: Convert to fraction form
    3,197.66/4,796.28 = 1,965.26/x
  3. Step 3: Cross multiply
    3,197.66x = 4,796.28 × 1,965.26
  4. Step 4: Simplify right side
    3,197.66x = 9,425,937.23
  5. Step 5: Solve for x
    x = 9,425,937.23/3,197.66
  6. Step 6: Final answer
    x = 2,947.76

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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.