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Finding the Fourth Proportional to 2,021.38, 3,032.11 and 634.66

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Solution

The fourth proportional to 2,021.38, 3,032.11 and 634.66 is: 952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.38 : 3,032.11 = 634.66 : x
  2. Step 2: Convert to fraction form
    2,021.38/3,032.11 = 634.66/x
  3. Step 3: Cross multiply
    2,021.38x = 3,032.11 × 634.66
  4. Step 4: Simplify right side
    2,021.38x = 1,924,358.93
  5. Step 5: Solve for x
    x = 1,924,358.93/2,021.38
  6. Step 6: Final answer
    x = 952.00

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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.