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Finding the Fourth Proportional to 2,234.46, 3,350.46 and 1,195.68

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Solution

The fourth proportional to 2,234.46, 3,350.46 and 1,195.68 is: 1,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.46 : 3,350.46 = 1,195.68 : x
  2. Step 2: Convert to fraction form
    2,234.46/3,350.46 = 1,195.68/x
  3. Step 3: Cross multiply
    2,234.46x = 3,350.46 × 1,195.68
  4. Step 4: Simplify right side
    2,234.46x = 4,006,078.01
  5. Step 5: Solve for x
    x = 4,006,078.01/2,234.46
  6. Step 6: Final answer
    x = 1,792.86

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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.