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Finding the Fourth Proportional to 2,181.11, 3,271.59 and 794.48

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Solution

The fourth proportional to 2,181.11, 3,271.59 and 794.48 is: 1,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.11 : 3,271.59 = 794.48 : x
  2. Step 2: Convert to fraction form
    2,181.11/3,271.59 = 794.48/x
  3. Step 3: Cross multiply
    2,181.11x = 3,271.59 × 794.48
  4. Step 4: Simplify right side
    2,181.11x = 2,599,196.47
  5. Step 5: Solve for x
    x = 2,599,196.47/2,181.11
  6. Step 6: Final answer
    x = 1,191.69

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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.