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Finding the Fourth Proportional to 2,034.82, 3,050.16 and 801.73

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Solution

The fourth proportional to 2,034.82, 3,050.16 and 801.73 is: 1,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.82 : 3,050.16 = 801.73 : x
  2. Step 2: Convert to fraction form
    2,034.82/3,050.16 = 801.73/x
  3. Step 3: Cross multiply
    2,034.82x = 3,050.16 × 801.73
  4. Step 4: Simplify right side
    2,034.82x = 2,445,405.58
  5. Step 5: Solve for x
    x = 2,445,405.58/2,034.82
  6. Step 6: Final answer
    x = 1,201.78

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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.