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Finding the Fourth Proportional to 2,796.24, 3,857.98 and 1,999.81

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Solution

The fourth proportional to 2,796.24, 3,857.98 and 1,999.81 is: 2,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.24 : 3,857.98 = 1,999.81 : x
  2. Step 2: Convert to fraction form
    2,796.24/3,857.98 = 1,999.81/x
  3. Step 3: Cross multiply
    2,796.24x = 3,857.98 × 1,999.81
  4. Step 4: Simplify right side
    2,796.24x = 7,715,197.69
  5. Step 5: Solve for x
    x = 7,715,197.69/2,796.24
  6. Step 6: Final answer
    x = 2,759.13

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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.