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Finding the Fourth Proportional to 2,781.01, 3,832.50 and 1,993.69

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Solution

The fourth proportional to 2,781.01, 3,832.50 and 1,993.69 is: 2,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.01 : 3,832.50 = 1,993.69 : x
  2. Step 2: Convert to fraction form
    2,781.01/3,832.50 = 1,993.69/x
  3. Step 3: Cross multiply
    2,781.01x = 3,832.50 × 1,993.69
  4. Step 4: Simplify right side
    2,781.01x = 7,640,816.93
  5. Step 5: Solve for x
    x = 7,640,816.93/2,781.01
  6. Step 6: Final answer
    x = 2,747.50

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