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Finding the Fourth Proportional to 3,186.44, 4,396.82 and 1,841.54

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Solution

The fourth proportional to 3,186.44, 4,396.82 and 1,841.54 is: 2,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.44 : 4,396.82 = 1,841.54 : x
  2. Step 2: Convert to fraction form
    3,186.44/4,396.82 = 1,841.54/x
  3. Step 3: Cross multiply
    3,186.44x = 4,396.82 × 1,841.54
  4. Step 4: Simplify right side
    3,186.44x = 8,096,919.90
  5. Step 5: Solve for x
    x = 8,096,919.90/3,186.44
  6. Step 6: Final answer
    x = 2,541.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.