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Finding the Fourth Proportional to 1,791.30, 2,472.83 and 1,194.79

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Solution

The fourth proportional to 1,791.30, 2,472.83 and 1,194.79 is: 1,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.30 : 2,472.83 = 1,194.79 : x
  2. Step 2: Convert to fraction form
    1,791.30/2,472.83 = 1,194.79/x
  3. Step 3: Cross multiply
    1,791.30x = 2,472.83 × 1,194.79
  4. Step 4: Simplify right side
    1,791.30x = 2,954,504.88
  5. Step 5: Solve for x
    x = 2,954,504.88/1,791.30
  6. Step 6: Final answer
    x = 1,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.