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Finding the Fourth Proportional to 2,857.81, 3,945.09 and 2,077.78

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Solution

The fourth proportional to 2,857.81, 3,945.09 and 2,077.78 is: 2,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.81 : 3,945.09 = 2,077.78 : x
  2. Step 2: Convert to fraction form
    2,857.81/3,945.09 = 2,077.78/x
  3. Step 3: Cross multiply
    2,857.81x = 3,945.09 × 2,077.78
  4. Step 4: Simplify right side
    2,857.81x = 8,197,029.10
  5. Step 5: Solve for x
    x = 8,197,029.10/2,857.81
  6. Step 6: Final answer
    x = 2,868.29

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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.