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Finding the Fourth Proportional to 2,181.15, 3,270.78 and 794.03

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Solution

The fourth proportional to 2,181.15, 3,270.78 and 794.03 is: 1,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.15 : 3,270.78 = 794.03 : x
  2. Step 2: Convert to fraction form
    2,181.15/3,270.78 = 794.03/x
  3. Step 3: Cross multiply
    2,181.15x = 3,270.78 × 794.03
  4. Step 4: Simplify right side
    2,181.15x = 2,597,081.09
  5. Step 5: Solve for x
    x = 2,597,081.09/2,181.15
  6. Step 6: Final answer
    x = 1,190.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.