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Finding the Fourth Proportional to 4,107.80, 6,161.10 and 1,185.80

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Solution

The fourth proportional to 4,107.80, 6,161.10 and 1,185.80 is: 1,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.80 : 6,161.10 = 1,185.80 : x
  2. Step 2: Convert to fraction form
    4,107.80/6,161.10 = 1,185.80/x
  3. Step 3: Cross multiply
    4,107.80x = 6,161.10 × 1,185.80
  4. Step 4: Simplify right side
    4,107.80x = 7,305,832.38
  5. Step 5: Solve for x
    x = 7,305,832.38/4,107.80
  6. Step 6: Final answer
    x = 1,778.53

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1.5x scale

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.