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Finding the Fourth Proportional to 3,296.40, 4,943.70 and 1,348.80

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Solution

The fourth proportional to 3,296.40, 4,943.70 and 1,348.80 is: 2,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.40 : 4,943.70 = 1,348.80 : x
  2. Step 2: Convert to fraction form
    3,296.40/4,943.70 = 1,348.80/x
  3. Step 3: Cross multiply
    3,296.40x = 4,943.70 × 1,348.80
  4. Step 4: Simplify right side
    3,296.40x = 6,668,062.56
  5. Step 5: Solve for x
    x = 6,668,062.56/3,296.40
  6. Step 6: Final answer
    x = 2,022.83

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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.