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Finding the Fourth Proportional to 2,012.26, 3,018.36 and 551.41

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Solution

The fourth proportional to 2,012.26, 3,018.36 and 551.41 is: 827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.26 : 3,018.36 = 551.41 : x
  2. Step 2: Convert to fraction form
    2,012.26/3,018.36 = 551.41/x
  3. Step 3: Cross multiply
    2,012.26x = 3,018.36 × 551.41
  4. Step 4: Simplify right side
    2,012.26x = 1,664,353.89
  5. Step 5: Solve for x
    x = 1,664,353.89/2,012.26
  6. Step 6: Final answer
    x = 827.11

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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.