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Finding the Fourth Proportional to 2,322.26, 3,481.97 and 986.48

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Solution

The fourth proportional to 2,322.26, 3,481.97 and 986.48 is: 1,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.26 : 3,481.97 = 986.48 : x
  2. Step 2: Convert to fraction form
    2,322.26/3,481.97 = 986.48/x
  3. Step 3: Cross multiply
    2,322.26x = 3,481.97 × 986.48
  4. Step 4: Simplify right side
    2,322.26x = 3,434,871.42
  5. Step 5: Solve for x
    x = 3,434,871.42/2,322.26
  6. Step 6: Final answer
    x = 1,479.11

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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.