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Finding the Fourth Proportional to 1,991.48, 2,747.22 and 1,163

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Solution

The fourth proportional to 1,991.48, 2,747.22 and 1,163 is: 1,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.48 : 2,747.22 = 1,163 : x
  2. Step 2: Convert to fraction form
    1,991.48/2,747.22 = 1,163/x
  3. Step 3: Cross multiply
    1,991.48x = 2,747.22 × 1,163
  4. Step 4: Simplify right side
    1,991.48x = 3,195,016.86
  5. Step 5: Solve for x
    x = 3,195,016.86/1,991.48
  6. Step 6: Final answer
    x = 1,604.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.