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Finding the Fourth Proportional to 2,796.27, 3,855.05 and 2,111.91

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Solution

The fourth proportional to 2,796.27, 3,855.05 and 2,111.91 is: 2,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.27 : 3,855.05 = 2,111.91 : x
  2. Step 2: Convert to fraction form
    2,796.27/3,855.05 = 2,111.91/x
  3. Step 3: Cross multiply
    2,796.27x = 3,855.05 × 2,111.91
  4. Step 4: Simplify right side
    2,796.27x = 8,141,508.09
  5. Step 5: Solve for x
    x = 8,141,508.09/2,796.27
  6. Step 6: Final answer
    x = 2,911.56

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