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Finding the Fourth Proportional to 2,162.48, 3,243.72 and 863.96

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Solution

The fourth proportional to 2,162.48, 3,243.72 and 863.96 is: 1,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.48 : 3,243.72 = 863.96 : x
  2. Step 2: Convert to fraction form
    2,162.48/3,243.72 = 863.96/x
  3. Step 3: Cross multiply
    2,162.48x = 3,243.72 × 863.96
  4. Step 4: Simplify right side
    2,162.48x = 2,802,444.33
  5. Step 5: Solve for x
    x = 2,802,444.33/2,162.48
  6. Step 6: Final answer
    x = 1,295.94

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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.