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Finding the Fourth Proportional to 2,180.70, 3,270.99 and 537.24

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Solution

The fourth proportional to 2,180.70, 3,270.99 and 537.24 is: 805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.70 : 3,270.99 = 537.24 : x
  2. Step 2: Convert to fraction form
    2,180.70/3,270.99 = 537.24/x
  3. Step 3: Cross multiply
    2,180.70x = 3,270.99 × 537.24
  4. Step 4: Simplify right side
    2,180.70x = 1,757,306.67
  5. Step 5: Solve for x
    x = 1,757,306.67/2,180.70
  6. Step 6: Final answer
    x = 805.85

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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.