Home / 2,233.92-3,084.32-1,997.12

Finding the Fourth Proportional to 2,233.92, 3,084.32 and 1,997.12

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Solution

The fourth proportional to 2,233.92, 3,084.32 and 1,997.12 is: 2,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.92 : 3,084.32 = 1,997.12 : x
  2. Step 2: Convert to fraction form
    2,233.92/3,084.32 = 1,997.12/x
  3. Step 3: Cross multiply
    2,233.92x = 3,084.32 × 1,997.12
  4. Step 4: Simplify right side
    2,233.92x = 6,159,757.16
  5. Step 5: Solve for x
    x = 6,159,757.16/2,233.92
  6. Step 6: Final answer
    x = 2,757.38

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Half scale
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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.