Home / 2,216.36-3,324.46-829.23

Finding the Fourth Proportional to 2,216.36, 3,324.46 and 829.23

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Solution

The fourth proportional to 2,216.36, 3,324.46 and 829.23 is: 1,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.36 : 3,324.46 = 829.23 : x
  2. Step 2: Convert to fraction form
    2,216.36/3,324.46 = 829.23/x
  3. Step 3: Cross multiply
    2,216.36x = 3,324.46 × 829.23
  4. Step 4: Simplify right side
    2,216.36x = 2,756,741.97
  5. Step 5: Solve for x
    x = 2,756,741.97/2,216.36
  6. Step 6: Final answer
    x = 1,243.82

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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.