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Finding the Fourth Proportional to 2,217.32, 3,324.12 and 829.88

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Solution

The fourth proportional to 2,217.32, 3,324.12 and 829.88 is: 1,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.32 : 3,324.12 = 829.88 : x
  2. Step 2: Convert to fraction form
    2,217.32/3,324.12 = 829.88/x
  3. Step 3: Cross multiply
    2,217.32x = 3,324.12 × 829.88
  4. Step 4: Simplify right side
    2,217.32x = 2,758,620.71
  5. Step 5: Solve for x
    x = 2,758,620.71/2,217.32
  6. Step 6: Final answer
    x = 1,244.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.