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Finding the Fourth Proportional to 2,166.01, 3,249.92 and 1,192.79

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Solution

The fourth proportional to 2,166.01, 3,249.92 and 1,192.79 is: 1,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.01 : 3,249.92 = 1,192.79 : x
  2. Step 2: Convert to fraction form
    2,166.01/3,249.92 = 1,192.79/x
  3. Step 3: Cross multiply
    2,166.01x = 3,249.92 × 1,192.79
  4. Step 4: Simplify right side
    2,166.01x = 3,876,483.18
  5. Step 5: Solve for x
    x = 3,876,483.18/2,166.01
  6. Step 6: Final answer
    x = 1,789.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.