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Finding the Fourth Proportional to 2,028.31, 3,042.43 and 641.59

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Solution

The fourth proportional to 2,028.31, 3,042.43 and 641.59 is: 962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.31 : 3,042.43 = 641.59 : x
  2. Step 2: Convert to fraction form
    2,028.31/3,042.43 = 641.59/x
  3. Step 3: Cross multiply
    2,028.31x = 3,042.43 × 641.59
  4. Step 4: Simplify right side
    2,028.31x = 1,951,983.45
  5. Step 5: Solve for x
    x = 1,951,983.45/2,028.31
  6. Step 6: Final answer
    x = 962.37

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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.