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Finding the Fourth Proportional to 1,806.03, 2,709.87 and 984.27

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Solution

The fourth proportional to 1,806.03, 2,709.87 and 984.27 is: 1,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.03 : 2,709.87 = 984.27 : x
  2. Step 2: Convert to fraction form
    1,806.03/2,709.87 = 984.27/x
  3. Step 3: Cross multiply
    1,806.03x = 2,709.87 × 984.27
  4. Step 4: Simplify right side
    1,806.03x = 2,667,243.74
  5. Step 5: Solve for x
    x = 2,667,243.74/1,806.03
  6. Step 6: Final answer
    x = 1,476.85

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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.