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Finding the Fourth Proportional to 2,180.44, 3,270.30 and 1,010.44

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Solution

The fourth proportional to 2,180.44, 3,270.30 and 1,010.44 is: 1,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.44 : 3,270.30 = 1,010.44 : x
  2. Step 2: Convert to fraction form
    2,180.44/3,270.30 = 1,010.44/x
  3. Step 3: Cross multiply
    2,180.44x = 3,270.30 × 1,010.44
  4. Step 4: Simplify right side
    2,180.44x = 3,304,441.93
  5. Step 5: Solve for x
    x = 3,304,441.93/2,180.44
  6. Step 6: Final answer
    x = 1,515.49

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Why These Related Problems?

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