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Finding the Fourth Proportional to 3,109.44, 4,665 and 1,161.84

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Solution

The fourth proportional to 3,109.44, 4,665 and 1,161.84 is: 1,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.44 : 4,665 = 1,161.84 : x
  2. Step 2: Convert to fraction form
    3,109.44/4,665 = 1,161.84/x
  3. Step 3: Cross multiply
    3,109.44x = 4,665 × 1,161.84
  4. Step 4: Simplify right side
    3,109.44x = 5,419,983.60
  5. Step 5: Solve for x
    x = 5,419,983.60/3,109.44
  6. Step 6: Final answer
    x = 1,743.07

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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.