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Finding the Fourth Proportional to 2,806.09, 3,872.42 and 1,627.86

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Solution

The fourth proportional to 2,806.09, 3,872.42 and 1,627.86 is: 2,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.09 : 3,872.42 = 1,627.86 : x
  2. Step 2: Convert to fraction form
    2,806.09/3,872.42 = 1,627.86/x
  3. Step 3: Cross multiply
    2,806.09x = 3,872.42 × 1,627.86
  4. Step 4: Simplify right side
    2,806.09x = 6,303,757.62
  5. Step 5: Solve for x
    x = 6,303,757.62/2,806.09
  6. Step 6: Final answer
    x = 2,246.46

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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.