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Finding the Fourth Proportional to 3,177.82, 4,765.82 and 1,097.28

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Solution

The fourth proportional to 3,177.82, 4,765.82 and 1,097.28 is: 1,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.82 : 4,765.82 = 1,097.28 : x
  2. Step 2: Convert to fraction form
    3,177.82/4,765.82 = 1,097.28/x
  3. Step 3: Cross multiply
    3,177.82x = 4,765.82 × 1,097.28
  4. Step 4: Simplify right side
    3,177.82x = 5,229,438.97
  5. Step 5: Solve for x
    x = 5,229,438.97/3,177.82
  6. Step 6: Final answer
    x = 1,645.61

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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.