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Finding the Fourth Proportional to 2,021.39, 3,032.06 and 634.73

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Solution

The fourth proportional to 2,021.39, 3,032.06 and 634.73 is: 952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.39 : 3,032.06 = 634.73 : x
  2. Step 2: Convert to fraction form
    2,021.39/3,032.06 = 634.73/x
  3. Step 3: Cross multiply
    2,021.39x = 3,032.06 × 634.73
  4. Step 4: Simplify right side
    2,021.39x = 1,924,525.87
  5. Step 5: Solve for x
    x = 1,924,525.87/2,021.39
  6. Step 6: Final answer
    x = 952.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.