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Finding the Fourth Proportional to 3,193.85, 4,791.50 and 1,462.97

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Solution

The fourth proportional to 3,193.85, 4,791.50 and 1,462.97 is: 2,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.85 : 4,791.50 = 1,462.97 : x
  2. Step 2: Convert to fraction form
    3,193.85/4,791.50 = 1,462.97/x
  3. Step 3: Cross multiply
    3,193.85x = 4,791.50 × 1,462.97
  4. Step 4: Simplify right side
    3,193.85x = 7,009,820.76
  5. Step 5: Solve for x
    x = 7,009,820.76/3,193.85
  6. Step 6: Final answer
    x = 2,194.79

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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.