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Finding the Fourth Proportional to 2,760.52, 3,809.57 and 2,163.75

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Solution

The fourth proportional to 2,760.52, 3,809.57 and 2,163.75 is: 2,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.52 : 3,809.57 = 2,163.75 : x
  2. Step 2: Convert to fraction form
    2,760.52/3,809.57 = 2,163.75/x
  3. Step 3: Cross multiply
    2,760.52x = 3,809.57 × 2,163.75
  4. Step 4: Simplify right side
    2,760.52x = 8,242,957.09
  5. Step 5: Solve for x
    x = 8,242,957.09/2,760.52
  6. Step 6: Final answer
    x = 2,986.02

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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.