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Finding the Fourth Proportional to 2,806.56, 3,874.37 and 1,627.40

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Solution

The fourth proportional to 2,806.56, 3,874.37 and 1,627.40 is: 2,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.56 : 3,874.37 = 1,627.40 : x
  2. Step 2: Convert to fraction form
    2,806.56/3,874.37 = 1,627.40/x
  3. Step 3: Cross multiply
    2,806.56x = 3,874.37 × 1,627.40
  4. Step 4: Simplify right side
    2,806.56x = 6,305,151.29
  5. Step 5: Solve for x
    x = 6,305,151.29/2,806.56
  6. Step 6: Final answer
    x = 2,246.58

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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.