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Finding the Fourth Proportional to 2,806.33, 3,873.07 and 1,627.44

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Solution

The fourth proportional to 2,806.33, 3,873.07 and 1,627.44 is: 2,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.33 : 3,873.07 = 1,627.44 : x
  2. Step 2: Convert to fraction form
    2,806.33/3,873.07 = 1,627.44/x
  3. Step 3: Cross multiply
    2,806.33x = 3,873.07 × 1,627.44
  4. Step 4: Simplify right side
    2,806.33x = 6,303,189.04
  5. Step 5: Solve for x
    x = 6,303,189.04/2,806.33
  6. Step 6: Final answer
    x = 2,246.06

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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.