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Finding the Fourth Proportional to 3,296.70, 4,944.14 and 1,348.50

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Solution

The fourth proportional to 3,296.70, 4,944.14 and 1,348.50 is: 2,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.70 : 4,944.14 = 1,348.50 : x
  2. Step 2: Convert to fraction form
    3,296.70/4,944.14 = 1,348.50/x
  3. Step 3: Cross multiply
    3,296.70x = 4,944.14 × 1,348.50
  4. Step 4: Simplify right side
    3,296.70x = 6,667,172.79
  5. Step 5: Solve for x
    x = 6,667,172.79/3,296.70
  6. Step 6: Final answer
    x = 2,022.38

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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.