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Finding the Fourth Proportional to 2,297.14, 3,446.86 and 911.48

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Solution

The fourth proportional to 2,297.14, 3,446.86 and 911.48 is: 1,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.14 : 3,446.86 = 911.48 : x
  2. Step 2: Convert to fraction form
    2,297.14/3,446.86 = 911.48/x
  3. Step 3: Cross multiply
    2,297.14x = 3,446.86 × 911.48
  4. Step 4: Simplify right side
    2,297.14x = 3,141,743.95
  5. Step 5: Solve for x
    x = 3,141,743.95/2,297.14
  6. Step 6: Final answer
    x = 1,367.68

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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.