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Finding the Fourth Proportional to 3,012.19, 4,517.76 and 821.09

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Solution

The fourth proportional to 3,012.19, 4,517.76 and 821.09 is: 1,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.19 : 4,517.76 = 821.09 : x
  2. Step 2: Convert to fraction form
    3,012.19/4,517.76 = 821.09/x
  3. Step 3: Cross multiply
    3,012.19x = 4,517.76 × 821.09
  4. Step 4: Simplify right side
    3,012.19x = 3,709,487.56
  5. Step 5: Solve for x
    x = 3,709,487.56/3,012.19
  6. Step 6: Final answer
    x = 1,231.49

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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.