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Finding the Fourth Proportional to 3,169.34, 4,754.85 and 1,195.00

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Solution

The fourth proportional to 3,169.34, 4,754.85 and 1,195.00 is: 1,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.34 : 4,754.85 = 1,195.00 : x
  2. Step 2: Convert to fraction form
    3,169.34/4,754.85 = 1,195.00/x
  3. Step 3: Cross multiply
    3,169.34x = 4,754.85 × 1,195.00
  4. Step 4: Simplify right side
    3,169.34x = 5,682,062.85
  5. Step 5: Solve for x
    x = 5,682,062.85/3,169.34
  6. Step 6: Final answer
    x = 1,792.82

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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.