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Finding the Fourth Proportional to 2,219.26, 3,329.38 and 659.39

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Solution

The fourth proportional to 2,219.26, 3,329.38 and 659.39 is: 989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.26 : 3,329.38 = 659.39 : x
  2. Step 2: Convert to fraction form
    2,219.26/3,329.38 = 659.39/x
  3. Step 3: Cross multiply
    2,219.26x = 3,329.38 × 659.39
  4. Step 4: Simplify right side
    2,219.26x = 2,195,359.88
  5. Step 5: Solve for x
    x = 2,195,359.88/2,219.26
  6. Step 6: Final answer
    x = 989.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.