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Finding the Fourth Proportional to 2,667.80, 3,999.26 and 1,186.25

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Solution

The fourth proportional to 2,667.80, 3,999.26 and 1,186.25 is: 1,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.80 : 3,999.26 = 1,186.25 : x
  2. Step 2: Convert to fraction form
    2,667.80/3,999.26 = 1,186.25/x
  3. Step 3: Cross multiply
    2,667.80x = 3,999.26 × 1,186.25
  4. Step 4: Simplify right side
    2,667.80x = 4,744,105.14
  5. Step 5: Solve for x
    x = 4,744,105.14/2,667.80
  6. Step 6: Final answer
    x = 1,778.28

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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.