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Finding the Fourth Proportional to 2,331.82, 3,499.81 and 2,084.62

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Solution

The fourth proportional to 2,331.82, 3,499.81 and 2,084.62 is: 3,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.82 : 3,499.81 = 2,084.62 : x
  2. Step 2: Convert to fraction form
    2,331.82/3,499.81 = 2,084.62/x
  3. Step 3: Cross multiply
    2,331.82x = 3,499.81 × 2,084.62
  4. Step 4: Simplify right side
    2,331.82x = 7,295,773.92
  5. Step 5: Solve for x
    x = 7,295,773.92/2,331.82
  6. Step 6: Final answer
    x = 3,128.79

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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.