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Finding the Fourth Proportional to 1,995.82, 2,992.73 and 1,163.16

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Solution

The fourth proportional to 1,995.82, 2,992.73 and 1,163.16 is: 1,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.82 : 2,992.73 = 1,163.16 : x
  2. Step 2: Convert to fraction form
    1,995.82/2,992.73 = 1,163.16/x
  3. Step 3: Cross multiply
    1,995.82x = 2,992.73 × 1,163.16
  4. Step 4: Simplify right side
    1,995.82x = 3,481,018.01
  5. Step 5: Solve for x
    x = 3,481,018.01/1,995.82
  6. Step 6: Final answer
    x = 1,744.16

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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.