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Finding the Fourth Proportional to 2,028.44, 3,042.96 and 641.46

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Solution

The fourth proportional to 2,028.44, 3,042.96 and 641.46 is: 962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.44 : 3,042.96 = 641.46 : x
  2. Step 2: Convert to fraction form
    2,028.44/3,042.96 = 641.46/x
  3. Step 3: Cross multiply
    2,028.44x = 3,042.96 × 641.46
  4. Step 4: Simplify right side
    2,028.44x = 1,951,944.73
  5. Step 5: Solve for x
    x = 1,951,944.73/2,028.44
  6. Step 6: Final answer
    x = 962.29

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1.5x scale

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.