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Finding the Fourth Proportional to 2,782.92, 3,857.96 and 2,634.96

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Solution

The fourth proportional to 2,782.92, 3,857.96 and 2,634.96 is: 3,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.92 : 3,857.96 = 2,634.96 : x
  2. Step 2: Convert to fraction form
    2,782.92/3,857.96 = 2,634.96/x
  3. Step 3: Cross multiply
    2,782.92x = 3,857.96 × 2,634.96
  4. Step 4: Simplify right side
    2,782.92x = 10,165,570.28
  5. Step 5: Solve for x
    x = 10,165,570.28/2,782.92
  6. Step 6: Final answer
    x = 3,652.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.