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Finding the Fourth Proportional to 2,759.22, 3,806.80 and 1,873.49

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Solution

The fourth proportional to 2,759.22, 3,806.80 and 1,873.49 is: 2,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.22 : 3,806.80 = 1,873.49 : x
  2. Step 2: Convert to fraction form
    2,759.22/3,806.80 = 1,873.49/x
  3. Step 3: Cross multiply
    2,759.22x = 3,806.80 × 1,873.49
  4. Step 4: Simplify right side
    2,759.22x = 7,131,978.01
  5. Step 5: Solve for x
    x = 7,131,978.01/2,759.22
  6. Step 6: Final answer
    x = 2,584.78

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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.