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Finding the Fourth Proportional to 3,034.89, 4,552.34 and 843.62

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Solution

The fourth proportional to 3,034.89, 4,552.34 and 843.62 is: 1,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.89 : 4,552.34 = 843.62 : x
  2. Step 2: Convert to fraction form
    3,034.89/4,552.34 = 843.62/x
  3. Step 3: Cross multiply
    3,034.89x = 4,552.34 × 843.62
  4. Step 4: Simplify right side
    3,034.89x = 3,840,418.09
  5. Step 5: Solve for x
    x = 3,840,418.09/3,034.89
  6. Step 6: Final answer
    x = 1,265.42

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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.