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Finding the Fourth Proportional to 3,292.44, 4,933.20 and 1,991.22

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Solution

The fourth proportional to 3,292.44, 4,933.20 and 1,991.22 is: 2,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.44 : 4,933.20 = 1,991.22 : x
  2. Step 2: Convert to fraction form
    3,292.44/4,933.20 = 1,991.22/x
  3. Step 3: Cross multiply
    3,292.44x = 4,933.20 × 1,991.22
  4. Step 4: Simplify right side
    3,292.44x = 9,823,086.50
  5. Step 5: Solve for x
    x = 9,823,086.50/3,292.44
  6. Step 6: Final answer
    x = 2,983.53

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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.