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Finding the Fourth Proportional to 3,361.89, 4,635.25 and 2,164.85

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Solution

The fourth proportional to 3,361.89, 4,635.25 and 2,164.85 is: 2,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.89 : 4,635.25 = 2,164.85 : x
  2. Step 2: Convert to fraction form
    3,361.89/4,635.25 = 2,164.85/x
  3. Step 3: Cross multiply
    3,361.89x = 4,635.25 × 2,164.85
  4. Step 4: Simplify right side
    3,361.89x = 10,034,620.96
  5. Step 5: Solve for x
    x = 10,034,620.96/3,361.89
  6. Step 6: Final answer
    x = 2,984.82

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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.