Home / 2,213.59-3,320.75-827.41

Finding the Fourth Proportional to 2,213.59, 3,320.75 and 827.41

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Solution

The fourth proportional to 2,213.59, 3,320.75 and 827.41 is: 1,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.59 : 3,320.75 = 827.41 : x
  2. Step 2: Convert to fraction form
    2,213.59/3,320.75 = 827.41/x
  3. Step 3: Cross multiply
    2,213.59x = 3,320.75 × 827.41
  4. Step 4: Simplify right side
    2,213.59x = 2,747,621.76
  5. Step 5: Solve for x
    x = 2,747,621.76/2,213.59
  6. Step 6: Final answer
    x = 1,241.25

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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.