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Finding the Fourth Proportional to 2,667.31, 3,998.20 and 1,108.16

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Solution

The fourth proportional to 2,667.31, 3,998.20 and 1,108.16 is: 1,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.31 : 3,998.20 = 1,108.16 : x
  2. Step 2: Convert to fraction form
    2,667.31/3,998.20 = 1,108.16/x
  3. Step 3: Cross multiply
    2,667.31x = 3,998.20 × 1,108.16
  4. Step 4: Simplify right side
    2,667.31x = 4,430,662.11
  5. Step 5: Solve for x
    x = 4,430,662.11/2,667.31
  6. Step 6: Final answer
    x = 1,661.10

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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.