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Finding the Fourth Proportional to 2,180.16, 3,270.28 and 641.16

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Solution

The fourth proportional to 2,180.16, 3,270.28 and 641.16 is: 961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.16 : 3,270.28 = 641.16 : x
  2. Step 2: Convert to fraction form
    2,180.16/3,270.28 = 641.16/x
  3. Step 3: Cross multiply
    2,180.16x = 3,270.28 × 641.16
  4. Step 4: Simplify right side
    2,180.16x = 2,096,772.72
  5. Step 5: Solve for x
    x = 2,096,772.72/2,180.16
  6. Step 6: Final answer
    x = 961.75

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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.