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Finding the Fourth Proportional to 2,252, 3,377.83 and 791.25

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Solution

The fourth proportional to 2,252, 3,377.83 and 791.25 is: 1,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252 : 3,377.83 = 791.25 : x
  2. Step 2: Convert to fraction form
    2,252/3,377.83 = 791.25/x
  3. Step 3: Cross multiply
    2,252x = 3,377.83 × 791.25
  4. Step 4: Simplify right side
    2,252x = 2,672,707.99
  5. Step 5: Solve for x
    x = 2,672,707.99/2,252
  6. Step 6: Final answer
    x = 1,186.82

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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.