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Finding the Fourth Proportional to 2,057.78, 3,067.11 and 1,941.02

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Solution

The fourth proportional to 2,057.78, 3,067.11 and 1,941.02 is: 2,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.78 : 3,067.11 = 1,941.02 : x
  2. Step 2: Convert to fraction form
    2,057.78/3,067.11 = 1,941.02/x
  3. Step 3: Cross multiply
    2,057.78x = 3,067.11 × 1,941.02
  4. Step 4: Simplify right side
    2,057.78x = 5,953,321.85
  5. Step 5: Solve for x
    x = 5,953,321.85/2,057.78
  6. Step 6: Final answer
    x = 2,893.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.