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Finding the Fourth Proportional to 2,796.24, 3,857.04 and 2,131.68

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Solution

The fourth proportional to 2,796.24, 3,857.04 and 2,131.68 is: 2,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.24 : 3,857.04 = 2,131.68 : x
  2. Step 2: Convert to fraction form
    2,796.24/3,857.04 = 2,131.68/x
  3. Step 3: Cross multiply
    2,796.24x = 3,857.04 × 2,131.68
  4. Step 4: Simplify right side
    2,796.24x = 8,221,975.03
  5. Step 5: Solve for x
    x = 8,221,975.03/2,796.24
  6. Step 6: Final answer
    x = 2,940.37

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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.