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Finding the Fourth Proportional to 2,786.16, 3,843.86 and 1,667.12

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Solution

The fourth proportional to 2,786.16, 3,843.86 and 1,667.12 is: 2,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.16 : 3,843.86 = 1,667.12 : x
  2. Step 2: Convert to fraction form
    2,786.16/3,843.86 = 1,667.12/x
  3. Step 3: Cross multiply
    2,786.16x = 3,843.86 × 1,667.12
  4. Step 4: Simplify right side
    2,786.16x = 6,408,175.88
  5. Step 5: Solve for x
    x = 6,408,175.88/2,786.16
  6. Step 6: Final answer
    x = 2,300.00

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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.