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Finding the Fourth Proportional to 1,946.31, 2,919.51 and 1,086.09

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Solution

The fourth proportional to 1,946.31, 2,919.51 and 1,086.09 is: 1,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.31 : 2,919.51 = 1,086.09 : x
  2. Step 2: Convert to fraction form
    1,946.31/2,919.51 = 1,086.09/x
  3. Step 3: Cross multiply
    1,946.31x = 2,919.51 × 1,086.09
  4. Step 4: Simplify right side
    1,946.31x = 3,170,850.62
  5. Step 5: Solve for x
    x = 3,170,850.62/1,946.31
  6. Step 6: Final answer
    x = 1,629.16

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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.