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Finding the Fourth Proportional to 3,166.12, 4,369.17 and 1,769.14

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Solution

The fourth proportional to 3,166.12, 4,369.17 and 1,769.14 is: 2,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.12 : 4,369.17 = 1,769.14 : x
  2. Step 2: Convert to fraction form
    3,166.12/4,369.17 = 1,769.14/x
  3. Step 3: Cross multiply
    3,166.12x = 4,369.17 × 1,769.14
  4. Step 4: Simplify right side
    3,166.12x = 7,729,673.41
  5. Step 5: Solve for x
    x = 7,729,673.41/3,166.12
  6. Step 6: Final answer
    x = 2,441.37

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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.