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Finding the Fourth Proportional to 2,857.86, 3,944.13 and 1,796.42

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Solution

The fourth proportional to 2,857.86, 3,944.13 and 1,796.42 is: 2,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.86 : 3,944.13 = 1,796.42 : x
  2. Step 2: Convert to fraction form
    2,857.86/3,944.13 = 1,796.42/x
  3. Step 3: Cross multiply
    2,857.86x = 3,944.13 × 1,796.42
  4. Step 4: Simplify right side
    2,857.86x = 7,085,314.89
  5. Step 5: Solve for x
    x = 7,085,314.89/2,857.86
  6. Step 6: Final answer
    x = 2,479.24

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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.