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Finding the Fourth Proportional to 2,682.56, 4,022.08 and 1,295.52

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Solution

The fourth proportional to 2,682.56, 4,022.08 and 1,295.52 is: 1,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.56 : 4,022.08 = 1,295.52 : x
  2. Step 2: Convert to fraction form
    2,682.56/4,022.08 = 1,295.52/x
  3. Step 3: Cross multiply
    2,682.56x = 4,022.08 × 1,295.52
  4. Step 4: Simplify right side
    2,682.56x = 5,210,685.08
  5. Step 5: Solve for x
    x = 5,210,685.08/2,682.56
  6. Step 6: Final answer
    x = 1,942.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.