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Finding the Fourth Proportional to 2,796.28, 3,842.67 and 2,667.80

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Solution

The fourth proportional to 2,796.28, 3,842.67 and 2,667.80 is: 3,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.28 : 3,842.67 = 2,667.80 : x
  2. Step 2: Convert to fraction form
    2,796.28/3,842.67 = 2,667.80/x
  3. Step 3: Cross multiply
    2,796.28x = 3,842.67 × 2,667.80
  4. Step 4: Simplify right side
    2,796.28x = 10,251,475.03
  5. Step 5: Solve for x
    x = 10,251,475.03/2,796.28
  6. Step 6: Final answer
    x = 3,666.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.