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Finding the Fourth Proportional to 1,963.54, 2,941.42 and 1,183.75

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Solution

The fourth proportional to 1,963.54, 2,941.42 and 1,183.75 is: 1,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.54 : 2,941.42 = 1,183.75 : x
  2. Step 2: Convert to fraction form
    1,963.54/2,941.42 = 1,183.75/x
  3. Step 3: Cross multiply
    1,963.54x = 2,941.42 × 1,183.75
  4. Step 4: Simplify right side
    1,963.54x = 3,481,903.73
  5. Step 5: Solve for x
    x = 3,481,903.73/1,963.54
  6. Step 6: Final answer
    x = 1,773.28

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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.