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Finding the Fourth Proportional to 2,022.85, 3,034.07 and 636.15

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Solution

The fourth proportional to 2,022.85, 3,034.07 and 636.15 is: 954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.85 : 3,034.07 = 636.15 : x
  2. Step 2: Convert to fraction form
    2,022.85/3,034.07 = 636.15/x
  3. Step 3: Cross multiply
    2,022.85x = 3,034.07 × 636.15
  4. Step 4: Simplify right side
    2,022.85x = 1,930,123.63
  5. Step 5: Solve for x
    x = 1,930,123.63/2,022.85
  6. Step 6: Final answer
    x = 954.16

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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.