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Finding the Fourth Proportional to 2,114.73, 3,171.09 and 633.38

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Solution

The fourth proportional to 2,114.73, 3,171.09 and 633.38 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.73 : 3,171.09 = 633.38 : x
  2. Step 2: Convert to fraction form
    2,114.73/3,171.09 = 633.38/x
  3. Step 3: Cross multiply
    2,114.73x = 3,171.09 × 633.38
  4. Step 4: Simplify right side
    2,114.73x = 2,008,505.78
  5. Step 5: Solve for x
    x = 2,008,505.78/2,114.73
  6. Step 6: Final answer
    x = 949.77

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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.