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Finding the Fourth Proportional to 2,789.82, 4,184.73 and 1,493.82

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Solution

The fourth proportional to 2,789.82, 4,184.73 and 1,493.82 is: 2,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.82 : 4,184.73 = 1,493.82 : x
  2. Step 2: Convert to fraction form
    2,789.82/4,184.73 = 1,493.82/x
  3. Step 3: Cross multiply
    2,789.82x = 4,184.73 × 1,493.82
  4. Step 4: Simplify right side
    2,789.82x = 6,251,233.37
  5. Step 5: Solve for x
    x = 6,251,233.37/2,789.82
  6. Step 6: Final answer
    x = 2,240.73

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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.