Home / 2,232.56-3,349.06-827.35

Finding the Fourth Proportional to 2,232.56, 3,349.06 and 827.35

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Solution

The fourth proportional to 2,232.56, 3,349.06 and 827.35 is: 1,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 3,349.06 = 827.35 : x
  2. Step 2: Convert to fraction form
    2,232.56/3,349.06 = 827.35/x
  3. Step 3: Cross multiply
    2,232.56x = 3,349.06 × 827.35
  4. Step 4: Simplify right side
    2,232.56x = 2,770,850.01
  5. Step 5: Solve for x
    x = 2,770,850.01/2,232.56
  6. Step 6: Final answer
    x = 1,241.11

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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.