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Finding the Fourth Proportional to 3,296.72, 4,945.07 and 1,348.46

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Solution

The fourth proportional to 3,296.72, 4,945.07 and 1,348.46 is: 2,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.72 : 4,945.07 = 1,348.46 : x
  2. Step 2: Convert to fraction form
    3,296.72/4,945.07 = 1,348.46/x
  3. Step 3: Cross multiply
    3,296.72x = 4,945.07 × 1,348.46
  4. Step 4: Simplify right side
    3,296.72x = 6,668,229.09
  5. Step 5: Solve for x
    x = 6,668,229.09/3,296.72
  6. Step 6: Final answer
    x = 2,022.69

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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.