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Finding the Fourth Proportional to 3,231.84, 4,847.73 and 1,381.38

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Solution

The fourth proportional to 3,231.84, 4,847.73 and 1,381.38 is: 2,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.84 : 4,847.73 = 1,381.38 : x
  2. Step 2: Convert to fraction form
    3,231.84/4,847.73 = 1,381.38/x
  3. Step 3: Cross multiply
    3,231.84x = 4,847.73 × 1,381.38
  4. Step 4: Simplify right side
    3,231.84x = 6,696,557.27
  5. Step 5: Solve for x
    x = 6,696,557.27/3,231.84
  6. Step 6: Final answer
    x = 2,072.06

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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.