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Finding the Fourth Proportional to 2,481.85, 3,723.02 and 900.97

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Solution

The fourth proportional to 2,481.85, 3,723.02 and 900.97 is: 1,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.85 : 3,723.02 = 900.97 : x
  2. Step 2: Convert to fraction form
    2,481.85/3,723.02 = 900.97/x
  3. Step 3: Cross multiply
    2,481.85x = 3,723.02 × 900.97
  4. Step 4: Simplify right side
    2,481.85x = 3,354,329.33
  5. Step 5: Solve for x
    x = 3,354,329.33/2,481.85
  6. Step 6: Final answer
    x = 1,351.54

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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.