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Finding the Fourth Proportional to 2,305.90, 3,181.81 and 1,361.73

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Solution

The fourth proportional to 2,305.90, 3,181.81 and 1,361.73 is: 1,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.90 : 3,181.81 = 1,361.73 : x
  2. Step 2: Convert to fraction form
    2,305.90/3,181.81 = 1,361.73/x
  3. Step 3: Cross multiply
    2,305.90x = 3,181.81 × 1,361.73
  4. Step 4: Simplify right side
    2,305.90x = 4,332,766.13
  5. Step 5: Solve for x
    x = 4,332,766.13/2,305.90
  6. Step 6: Final answer
    x = 1,878.99

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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.