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Finding the Fourth Proportional to 1,947.75, 2,687.94 and 1,202.22

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Solution

The fourth proportional to 1,947.75, 2,687.94 and 1,202.22 is: 1,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.75 : 2,687.94 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    1,947.75/2,687.94 = 1,202.22/x
  3. Step 3: Cross multiply
    1,947.75x = 2,687.94 × 1,202.22
  4. Step 4: Simplify right side
    1,947.75x = 3,231,495.23
  5. Step 5: Solve for x
    x = 3,231,495.23/1,947.75
  6. Step 6: Final answer
    x = 1,659.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.