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Finding the Fourth Proportional to 2,093.72, 3,140.97 and 633.02

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Solution

The fourth proportional to 2,093.72, 3,140.97 and 633.02 is: 949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.72 : 3,140.97 = 633.02 : x
  2. Step 2: Convert to fraction form
    2,093.72/3,140.97 = 633.02/x
  3. Step 3: Cross multiply
    2,093.72x = 3,140.97 × 633.02
  4. Step 4: Simplify right side
    2,093.72x = 1,988,296.83
  5. Step 5: Solve for x
    x = 1,988,296.83/2,093.72
  6. Step 6: Final answer
    x = 949.65

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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.