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Finding the Fourth Proportional to 2,683.91, 4,027.08 and 2,066.69

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Solution

The fourth proportional to 2,683.91, 4,027.08 and 2,066.69 is: 3,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.91 : 4,027.08 = 2,066.69 : x
  2. Step 2: Convert to fraction form
    2,683.91/4,027.08 = 2,066.69/x
  3. Step 3: Cross multiply
    2,683.91x = 4,027.08 × 2,066.69
  4. Step 4: Simplify right side
    2,683.91x = 8,322,725.97
  5. Step 5: Solve for x
    x = 8,322,725.97/2,683.91
  6. Step 6: Final answer
    x = 3,100.97

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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.