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Finding the Fourth Proportional to 2,327.81, 3,493.80 and 2,080.62

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Solution

The fourth proportional to 2,327.81, 3,493.80 and 2,080.62 is: 3,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.81 : 3,493.80 = 2,080.62 : x
  2. Step 2: Convert to fraction form
    2,327.81/3,493.80 = 2,080.62/x
  3. Step 3: Cross multiply
    2,327.81x = 3,493.80 × 2,080.62
  4. Step 4: Simplify right side
    2,327.81x = 7,269,270.16
  5. Step 5: Solve for x
    x = 7,269,270.16/2,327.81
  6. Step 6: Final answer
    x = 3,122.80

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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.