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Finding the Fourth Proportional to 2,180.24, 3,269.99 and 640.88

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Solution

The fourth proportional to 2,180.24, 3,269.99 and 640.88 is: 961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.24 : 3,269.99 = 640.88 : x
  2. Step 2: Convert to fraction form
    2,180.24/3,269.99 = 640.88/x
  3. Step 3: Cross multiply
    2,180.24x = 3,269.99 × 640.88
  4. Step 4: Simplify right side
    2,180.24x = 2,095,656.44
  5. Step 5: Solve for x
    x = 2,095,656.44/2,180.24
  6. Step 6: Final answer
    x = 961.21

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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.