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Finding the Fourth Proportional to 2,028.06, 3,041.46 and 641.73

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Solution

The fourth proportional to 2,028.06, 3,041.46 and 641.73 is: 962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.06 : 3,041.46 = 641.73 : x
  2. Step 2: Convert to fraction form
    2,028.06/3,041.46 = 641.73/x
  3. Step 3: Cross multiply
    2,028.06x = 3,041.46 × 641.73
  4. Step 4: Simplify right side
    2,028.06x = 1,951,796.13
  5. Step 5: Solve for x
    x = 1,951,796.13/2,028.06
  6. Step 6: Final answer
    x = 962.40

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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.