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Finding the Fourth Proportional to 2,789.82, 4,191.21 and 1,636.38

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Solution

The fourth proportional to 2,789.82, 4,191.21 and 1,636.38 is: 2,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.82 : 4,191.21 = 1,636.38 : x
  2. Step 2: Convert to fraction form
    2,789.82/4,191.21 = 1,636.38/x
  3. Step 3: Cross multiply
    2,789.82x = 4,191.21 × 1,636.38
  4. Step 4: Simplify right side
    2,789.82x = 6,858,412.22
  5. Step 5: Solve for x
    x = 6,858,412.22/2,789.82
  6. Step 6: Final answer
    x = 2,458.37

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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.