Home / 2,216.24-3,324.44-829.43

Finding the Fourth Proportional to 2,216.24, 3,324.44 and 829.43

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Solution

The fourth proportional to 2,216.24, 3,324.44 and 829.43 is: 1,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.24 : 3,324.44 = 829.43 : x
  2. Step 2: Convert to fraction form
    2,216.24/3,324.44 = 829.43/x
  3. Step 3: Cross multiply
    2,216.24x = 3,324.44 × 829.43
  4. Step 4: Simplify right side
    2,216.24x = 2,757,388.19
  5. Step 5: Solve for x
    x = 2,757,388.19/2,216.24
  6. Step 6: Final answer
    x = 1,244.17

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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.