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Finding the Fourth Proportional to 2,380.56, 3,286.08 and 1,682.88

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Solution

The fourth proportional to 2,380.56, 3,286.08 and 1,682.88 is: 2,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.56 : 3,286.08 = 1,682.88 : x
  2. Step 2: Convert to fraction form
    2,380.56/3,286.08 = 1,682.88/x
  3. Step 3: Cross multiply
    2,380.56x = 3,286.08 × 1,682.88
  4. Step 4: Simplify right side
    2,380.56x = 5,530,078.31
  5. Step 5: Solve for x
    x = 5,530,078.31/2,380.56
  6. Step 6: Final answer
    x = 2,323.02

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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.