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Finding the Fourth Proportional to 2,857.36, 3,942.12 and 1,677.56

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Solution

The fourth proportional to 2,857.36, 3,942.12 and 1,677.56 is: 2,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.36 : 3,942.12 = 1,677.56 : x
  2. Step 2: Convert to fraction form
    2,857.36/3,942.12 = 1,677.56/x
  3. Step 3: Cross multiply
    2,857.36x = 3,942.12 × 1,677.56
  4. Step 4: Simplify right side
    2,857.36x = 6,613,142.83
  5. Step 5: Solve for x
    x = 6,613,142.83/2,857.36
  6. Step 6: Final answer
    x = 2,314.42

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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.