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Finding the Fourth Proportional to 2,021.31, 3,032.00 and 634.59

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Solution

The fourth proportional to 2,021.31, 3,032.00 and 634.59 is: 951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.31 : 3,032.00 = 634.59 : x
  2. Step 2: Convert to fraction form
    2,021.31/3,032.00 = 634.59/x
  3. Step 3: Cross multiply
    2,021.31x = 3,032.00 × 634.59
  4. Step 4: Simplify right side
    2,021.31x = 1,924,073.71
  5. Step 5: Solve for x
    x = 1,924,073.71/2,021.31
  6. Step 6: Final answer
    x = 951.89

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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.