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Finding the Fourth Proportional to 2,012, 3,017.95 and 551.15

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Solution

The fourth proportional to 2,012, 3,017.95 and 551.15 is: 826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012 : 3,017.95 = 551.15 : x
  2. Step 2: Convert to fraction form
    2,012/3,017.95 = 551.15/x
  3. Step 3: Cross multiply
    2,012x = 3,017.95 × 551.15
  4. Step 4: Simplify right side
    2,012x = 1,663,343.14
  5. Step 5: Solve for x
    x = 1,663,343.14/2,012
  6. Step 6: Final answer
    x = 826.71

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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.