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Finding the Fourth Proportional to 2,217.65, 3,326.92 and 830.95

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Solution

The fourth proportional to 2,217.65, 3,326.92 and 830.95 is: 1,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.65 : 3,326.92 = 830.95 : x
  2. Step 2: Convert to fraction form
    2,217.65/3,326.92 = 830.95/x
  3. Step 3: Cross multiply
    2,217.65x = 3,326.92 × 830.95
  4. Step 4: Simplify right side
    2,217.65x = 2,764,493.78
  5. Step 5: Solve for x
    x = 2,764,493.78/2,217.65
  6. Step 6: Final answer
    x = 1,246.59

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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.