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Finding the Fourth Proportional to 2,179,740, 3,270,135 and 683,832

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Solution

The fourth proportional to 2,179,740, 3,270,135 and 683,832 is: 1,025,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,740 : 3,270,135 = 683,832 : x
  2. Step 2: Convert to fraction form
    2,179,740/3,270,135 = 683,832/x
  3. Step 3: Cross multiply
    2,179,740x = 3,270,135 × 683,832
  4. Step 4: Simplify right side
    2,179,740x = 2,236,222,957,320
  5. Step 5: Solve for x
    x = 2,236,222,957,320/2,179,740
  6. Step 6: Final answer
    x = 1,025,912.70

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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.