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Finding the Fourth Proportional to 2,216.34, 3,324.20 and 829.49

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Solution

The fourth proportional to 2,216.34, 3,324.20 and 829.49 is: 1,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.34 : 3,324.20 = 829.49 : x
  2. Step 2: Convert to fraction form
    2,216.34/3,324.20 = 829.49/x
  3. Step 3: Cross multiply
    2,216.34x = 3,324.20 × 829.49
  4. Step 4: Simplify right side
    2,216.34x = 2,757,369.89
  5. Step 5: Solve for x
    x = 2,757,369.89/2,216.34
  6. Step 6: Final answer
    x = 1,244.11

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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.