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Finding the Fourth Proportional to 2,022.69, 3,034.50 and 635.95

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Solution

The fourth proportional to 2,022.69, 3,034.50 and 635.95 is: 954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.69 : 3,034.50 = 635.95 : x
  2. Step 2: Convert to fraction form
    2,022.69/3,034.50 = 635.95/x
  3. Step 3: Cross multiply
    2,022.69x = 3,034.50 × 635.95
  4. Step 4: Simplify right side
    2,022.69x = 1,929,790.28
  5. Step 5: Solve for x
    x = 1,929,790.28/2,022.69
  6. Step 6: Final answer
    x = 954.07

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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.