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Finding the Fourth Proportional to 2,022.50, 3,034.17 and 636.05

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Solution

The fourth proportional to 2,022.50, 3,034.17 and 636.05 is: 954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.50 : 3,034.17 = 636.05 : x
  2. Step 2: Convert to fraction form
    2,022.50/3,034.17 = 636.05/x
  3. Step 3: Cross multiply
    2,022.50x = 3,034.17 × 636.05
  4. Step 4: Simplify right side
    2,022.50x = 1,929,891.41
  5. Step 5: Solve for x
    x = 1,929,891.41/2,022.50
  6. Step 6: Final answer
    x = 954.21

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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.