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Finding the Fourth Proportional to 3,221.73, 4,834.46 and 1,740.96

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Solution

The fourth proportional to 3,221.73, 4,834.46 and 1,740.96 is: 2,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.73 : 4,834.46 = 1,740.96 : x
  2. Step 2: Convert to fraction form
    3,221.73/4,834.46 = 1,740.96/x
  3. Step 3: Cross multiply
    3,221.73x = 4,834.46 × 1,740.96
  4. Step 4: Simplify right side
    3,221.73x = 8,416,574.65
  5. Step 5: Solve for x
    x = 8,416,574.65/3,221.73
  6. Step 6: Final answer
    x = 2,612.44

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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.