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Finding the Fourth Proportional to 3,275.08, 4,912.50 and 809.85

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Solution

The fourth proportional to 3,275.08, 4,912.50 and 809.85 is: 1,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.08 : 4,912.50 = 809.85 : x
  2. Step 2: Convert to fraction form
    3,275.08/4,912.50 = 809.85/x
  3. Step 3: Cross multiply
    3,275.08x = 4,912.50 × 809.85
  4. Step 4: Simplify right side
    3,275.08x = 3,978,377.40
  5. Step 5: Solve for x
    x = 3,978,377.40/3,275.08
  6. Step 6: Final answer
    x = 1,214.74

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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.