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Finding the Fourth Proportional to 3,481.68, 5,222.54 and 884.62

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Solution

The fourth proportional to 3,481.68, 5,222.54 and 884.62 is: 1,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.68 : 5,222.54 = 884.62 : x
  2. Step 2: Convert to fraction form
    3,481.68/5,222.54 = 884.62/x
  3. Step 3: Cross multiply
    3,481.68x = 5,222.54 × 884.62
  4. Step 4: Simplify right side
    3,481.68x = 4,619,963.33
  5. Step 5: Solve for x
    x = 4,619,963.33/3,481.68
  6. Step 6: Final answer
    x = 1,326.94

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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.