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Finding the Fourth Proportional to 2,023.82, 3,035.91 and 636.75

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Solution

The fourth proportional to 2,023.82, 3,035.91 and 636.75 is: 955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.82 : 3,035.91 = 636.75 : x
  2. Step 2: Convert to fraction form
    2,023.82/3,035.91 = 636.75/x
  3. Step 3: Cross multiply
    2,023.82x = 3,035.91 × 636.75
  4. Step 4: Simplify right side
    2,023.82x = 1,933,115.69
  5. Step 5: Solve for x
    x = 1,933,115.69/2,023.82
  6. Step 6: Final answer
    x = 955.18

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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.