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Finding the Fourth Proportional to 2,465.82, 3,696.82 and 1,997.73

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Solution

The fourth proportional to 2,465.82, 3,696.82 and 1,997.73 is: 2,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.82 : 3,696.82 = 1,997.73 : x
  2. Step 2: Convert to fraction form
    2,465.82/3,696.82 = 1,997.73/x
  3. Step 3: Cross multiply
    2,465.82x = 3,696.82 × 1,997.73
  4. Step 4: Simplify right side
    2,465.82x = 7,385,243.22
  5. Step 5: Solve for x
    x = 7,385,243.22/2,465.82
  6. Step 6: Final answer
    x = 2,995.05

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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.