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Finding the Fourth Proportional to 2,228.50, 3,342.73 and 911.97

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Solution

The fourth proportional to 2,228.50, 3,342.73 and 911.97 is: 1,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.50 : 3,342.73 = 911.97 : x
  2. Step 2: Convert to fraction form
    2,228.50/3,342.73 = 911.97/x
  3. Step 3: Cross multiply
    2,228.50x = 3,342.73 × 911.97
  4. Step 4: Simplify right side
    2,228.50x = 3,048,469.48
  5. Step 5: Solve for x
    x = 3,048,469.48/2,228.50
  6. Step 6: Final answer
    x = 1,367.95

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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.