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Finding the Fourth Proportional to 1,941.90, 2,912.79 and 1,081.68

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Solution

The fourth proportional to 1,941.90, 2,912.79 and 1,081.68 is: 1,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.90 : 2,912.79 = 1,081.68 : x
  2. Step 2: Convert to fraction form
    1,941.90/2,912.79 = 1,081.68/x
  3. Step 3: Cross multiply
    1,941.90x = 2,912.79 × 1,081.68
  4. Step 4: Simplify right side
    1,941.90x = 3,150,706.69
  5. Step 5: Solve for x
    x = 3,150,706.69/1,941.90
  6. Step 6: Final answer
    x = 1,622.49

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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.