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Finding the Fourth Proportional to 3,167.09, 4,370.42 and 1,769.84

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Solution

The fourth proportional to 3,167.09, 4,370.42 and 1,769.84 is: 2,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.09 : 4,370.42 = 1,769.84 : x
  2. Step 2: Convert to fraction form
    3,167.09/4,370.42 = 1,769.84/x
  3. Step 3: Cross multiply
    3,167.09x = 4,370.42 × 1,769.84
  4. Step 4: Simplify right side
    3,167.09x = 7,734,944.13
  5. Step 5: Solve for x
    x = 7,734,944.13/3,167.09
  6. Step 6: Final answer
    x = 2,442.29

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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.