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Finding the Fourth Proportional to 3,227.70, 4,452.29 and 1,983.54

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Solution

The fourth proportional to 3,227.70, 4,452.29 and 1,983.54 is: 2,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.70 : 4,452.29 = 1,983.54 : x
  2. Step 2: Convert to fraction form
    3,227.70/4,452.29 = 1,983.54/x
  3. Step 3: Cross multiply
    3,227.70x = 4,452.29 × 1,983.54
  4. Step 4: Simplify right side
    3,227.70x = 8,831,295.31
  5. Step 5: Solve for x
    x = 8,831,295.31/3,227.70
  6. Step 6: Final answer
    x = 2,736.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.