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Finding the Fourth Proportional to 2,028.43, 3,042.95 and 641.31

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Solution

The fourth proportional to 2,028.43, 3,042.95 and 641.31 is: 962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.43 : 3,042.95 = 641.31 : x
  2. Step 2: Convert to fraction form
    2,028.43/3,042.95 = 641.31/x
  3. Step 3: Cross multiply
    2,028.43x = 3,042.95 × 641.31
  4. Step 4: Simplify right side
    2,028.43x = 1,951,474.26
  5. Step 5: Solve for x
    x = 1,951,474.26/2,028.43
  6. Step 6: Final answer
    x = 962.06

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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.