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Finding the Fourth Proportional to 3,296.75, 4,947.30 and 1,244.75

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Solution

The fourth proportional to 3,296.75, 4,947.30 and 1,244.75 is: 1,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.75 : 4,947.30 = 1,244.75 : x
  2. Step 2: Convert to fraction form
    3,296.75/4,947.30 = 1,244.75/x
  3. Step 3: Cross multiply
    3,296.75x = 4,947.30 × 1,244.75
  4. Step 4: Simplify right side
    3,296.75x = 6,158,151.68
  5. Step 5: Solve for x
    x = 6,158,151.68/3,296.75
  6. Step 6: Final answer
    x = 1,867.95

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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.