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Finding the Fourth Proportional to 2,270.62, 3,404.85 and 1,296.46

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Solution

The fourth proportional to 2,270.62, 3,404.85 and 1,296.46 is: 1,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.62 : 3,404.85 = 1,296.46 : x
  2. Step 2: Convert to fraction form
    2,270.62/3,404.85 = 1,296.46/x
  3. Step 3: Cross multiply
    2,270.62x = 3,404.85 × 1,296.46
  4. Step 4: Simplify right side
    2,270.62x = 4,414,251.83
  5. Step 5: Solve for x
    x = 4,414,251.83/2,270.62
  6. Step 6: Final answer
    x = 1,944.07

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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.