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Finding the Fourth Proportional to 2,093.97, 3,141.44 and 633.14

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Solution

The fourth proportional to 2,093.97, 3,141.44 and 633.14 is: 949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.97 : 3,141.44 = 633.14 : x
  2. Step 2: Convert to fraction form
    2,093.97/3,141.44 = 633.14/x
  3. Step 3: Cross multiply
    2,093.97x = 3,141.44 × 633.14
  4. Step 4: Simplify right side
    2,093.97x = 1,988,971.32
  5. Step 5: Solve for x
    x = 1,988,971.32/2,093.97
  6. Step 6: Final answer
    x = 949.86

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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.