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Finding the Fourth Proportional to 2,295.73, 3,441.57 and 908.34

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Solution

The fourth proportional to 2,295.73, 3,441.57 and 908.34 is: 1,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.73 : 3,441.57 = 908.34 : x
  2. Step 2: Convert to fraction form
    2,295.73/3,441.57 = 908.34/x
  3. Step 3: Cross multiply
    2,295.73x = 3,441.57 × 908.34
  4. Step 4: Simplify right side
    2,295.73x = 3,126,115.69
  5. Step 5: Solve for x
    x = 3,126,115.69/2,295.73
  6. Step 6: Final answer
    x = 1,361.71

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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.