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Finding the Fourth Proportional to 2,992.86, 4,493.12 and 2,011.98

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Solution

The fourth proportional to 2,992.86, 4,493.12 and 2,011.98 is: 3,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.86 : 4,493.12 = 2,011.98 : x
  2. Step 2: Convert to fraction form
    2,992.86/4,493.12 = 2,011.98/x
  3. Step 3: Cross multiply
    2,992.86x = 4,493.12 × 2,011.98
  4. Step 4: Simplify right side
    2,992.86x = 9,040,067.58
  5. Step 5: Solve for x
    x = 9,040,067.58/2,992.86
  6. Step 6: Final answer
    x = 3,020.54

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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.