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Finding the Fourth Proportional to 2,305.78, 3,181.29 and 1,361.66

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Solution

The fourth proportional to 2,305.78, 3,181.29 and 1,361.66 is: 1,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.78 : 3,181.29 = 1,361.66 : x
  2. Step 2: Convert to fraction form
    2,305.78/3,181.29 = 1,361.66/x
  3. Step 3: Cross multiply
    2,305.78x = 3,181.29 × 1,361.66
  4. Step 4: Simplify right side
    2,305.78x = 4,331,839.88
  5. Step 5: Solve for x
    x = 4,331,839.88/2,305.78
  6. Step 6: Final answer
    x = 1,878.68

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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.