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Finding the Fourth Proportional to 1,806.87, 2,709.38 and 1,147.59

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Solution

The fourth proportional to 1,806.87, 2,709.38 and 1,147.59 is: 1,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.87 : 2,709.38 = 1,147.59 : x
  2. Step 2: Convert to fraction form
    1,806.87/2,709.38 = 1,147.59/x
  3. Step 3: Cross multiply
    1,806.87x = 2,709.38 × 1,147.59
  4. Step 4: Simplify right side
    1,806.87x = 3,109,251.66
  5. Step 5: Solve for x
    x = 3,109,251.66/1,806.87
  6. Step 6: Final answer
    x = 1,720.79

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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.