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Finding the Fourth Proportional to 2,768.43, 4,152.66 and 820.65

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Solution

The fourth proportional to 2,768.43, 4,152.66 and 820.65 is: 1,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.43 : 4,152.66 = 820.65 : x
  2. Step 2: Convert to fraction form
    2,768.43/4,152.66 = 820.65/x
  3. Step 3: Cross multiply
    2,768.43x = 4,152.66 × 820.65
  4. Step 4: Simplify right side
    2,768.43x = 3,407,880.43
  5. Step 5: Solve for x
    x = 3,407,880.43/2,768.43
  6. Step 6: Final answer
    x = 1,230.98

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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.