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Finding the Fourth Proportional to 3,311.16, 4,961.70 and 1,361.04

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Solution

The fourth proportional to 3,311.16, 4,961.70 and 1,361.04 is: 2,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.16 : 4,961.70 = 1,361.04 : x
  2. Step 2: Convert to fraction form
    3,311.16/4,961.70 = 1,361.04/x
  3. Step 3: Cross multiply
    3,311.16x = 4,961.70 × 1,361.04
  4. Step 4: Simplify right side
    3,311.16x = 6,753,072.17
  5. Step 5: Solve for x
    x = 6,753,072.17/3,311.16
  6. Step 6: Final answer
    x = 2,039.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.