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Finding the Fourth Proportional to 2,667.68, 3,982.33 and 2,119.10

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Solution

The fourth proportional to 2,667.68, 3,982.33 and 2,119.10 is: 3,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.68 : 3,982.33 = 2,119.10 : x
  2. Step 2: Convert to fraction form
    2,667.68/3,982.33 = 2,119.10/x
  3. Step 3: Cross multiply
    2,667.68x = 3,982.33 × 2,119.10
  4. Step 4: Simplify right side
    2,667.68x = 8,438,955.50
  5. Step 5: Solve for x
    x = 8,438,955.50/2,667.68
  6. Step 6: Final answer
    x = 3,163.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.