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Finding the Fourth Proportional to 1,996.70, 2,993.91 and 679.79

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Solution

The fourth proportional to 1,996.70, 2,993.91 and 679.79 is: 1,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.70 : 2,993.91 = 679.79 : x
  2. Step 2: Convert to fraction form
    1,996.70/2,993.91 = 679.79/x
  3. Step 3: Cross multiply
    1,996.70x = 2,993.91 × 679.79
  4. Step 4: Simplify right side
    1,996.70x = 2,035,238.84
  5. Step 5: Solve for x
    x = 2,035,238.84/1,996.70
  6. Step 6: Final answer
    x = 1,019.30

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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.