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Finding the Fourth Proportional to 3,109, 4,662.42 and 1,160.14

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Solution

The fourth proportional to 3,109, 4,662.42 and 1,160.14 is: 1,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109 : 4,662.42 = 1,160.14 : x
  2. Step 2: Convert to fraction form
    3,109/4,662.42 = 1,160.14/x
  3. Step 3: Cross multiply
    3,109x = 4,662.42 × 1,160.14
  4. Step 4: Simplify right side
    3,109x = 5,409,059.94
  5. Step 5: Solve for x
    x = 5,409,059.94/3,109
  6. Step 6: Final answer
    x = 1,739.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.