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Finding the Fourth Proportional to 3,181.82, 4,791.40 and 2,775.80

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Solution

The fourth proportional to 3,181.82, 4,791.40 and 2,775.80 is: 4,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.82 : 4,791.40 = 2,775.80 : x
  2. Step 2: Convert to fraction form
    3,181.82/4,791.40 = 2,775.80/x
  3. Step 3: Cross multiply
    3,181.82x = 4,791.40 × 2,775.80
  4. Step 4: Simplify right side
    3,181.82x = 13,299,968.12
  5. Step 5: Solve for x
    x = 13,299,968.12/3,181.82
  6. Step 6: Final answer
    x = 4,179.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.