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Finding the Fourth Proportional to 2,023.09, 3,034.65 and 636.31

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Solution

The fourth proportional to 2,023.09, 3,034.65 and 636.31 is: 954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.09 : 3,034.65 = 636.31 : x
  2. Step 2: Convert to fraction form
    2,023.09/3,034.65 = 636.31/x
  3. Step 3: Cross multiply
    2,023.09x = 3,034.65 × 636.31
  4. Step 4: Simplify right side
    2,023.09x = 1,930,978.14
  5. Step 5: Solve for x
    x = 1,930,978.14/2,023.09
  6. Step 6: Final answer
    x = 954.47

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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.