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Finding the Fourth Proportional to 2,220.26, 3,329.82 and 659.90

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Solution

The fourth proportional to 2,220.26, 3,329.82 and 659.90 is: 989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.26 : 3,329.82 = 659.90 : x
  2. Step 2: Convert to fraction form
    2,220.26/3,329.82 = 659.90/x
  3. Step 3: Cross multiply
    2,220.26x = 3,329.82 × 659.90
  4. Step 4: Simplify right side
    2,220.26x = 2,197,348.22
  5. Step 5: Solve for x
    x = 2,197,348.22/2,220.26
  6. Step 6: Final answer
    x = 989.68

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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.