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Finding the Fourth Proportional to 2,769.60, 4,163.49 and 2,566.68

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Solution

The fourth proportional to 2,769.60, 4,163.49 and 2,566.68 is: 3,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.60 : 4,163.49 = 2,566.68 : x
  2. Step 2: Convert to fraction form
    2,769.60/4,163.49 = 2,566.68/x
  3. Step 3: Cross multiply
    2,769.60x = 4,163.49 × 2,566.68
  4. Step 4: Simplify right side
    2,769.60x = 10,686,346.51
  5. Step 5: Solve for x
    x = 10,686,346.51/2,769.60
  6. Step 6: Final answer
    x = 3,858.44

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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.