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Finding the Fourth Proportional to 2,216.36, 3,324.59 and 829.44

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Solution

The fourth proportional to 2,216.36, 3,324.59 and 829.44 is: 1,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.36 : 3,324.59 = 829.44 : x
  2. Step 2: Convert to fraction form
    2,216.36/3,324.59 = 829.44/x
  3. Step 3: Cross multiply
    2,216.36x = 3,324.59 × 829.44
  4. Step 4: Simplify right side
    2,216.36x = 2,757,551.56
  5. Step 5: Solve for x
    x = 2,757,551.56/2,216.36
  6. Step 6: Final answer
    x = 1,244.18

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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.