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Finding the Fourth Proportional to 2,190.96, 3,001.79 and 2,163.65

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Solution

The fourth proportional to 2,190.96, 3,001.79 and 2,163.65 is: 2,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.96 : 3,001.79 = 2,163.65 : x
  2. Step 2: Convert to fraction form
    2,190.96/3,001.79 = 2,163.65/x
  3. Step 3: Cross multiply
    2,190.96x = 3,001.79 × 2,163.65
  4. Step 4: Simplify right side
    2,190.96x = 6,494,813.33
  5. Step 5: Solve for x
    x = 6,494,813.33/2,190.96
  6. Step 6: Final answer
    x = 2,964.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.