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Finding the Fourth Proportional to 1,806.73, 2,705.77 and 982.96

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Solution

The fourth proportional to 1,806.73, 2,705.77 and 982.96 is: 1,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.73 : 2,705.77 = 982.96 : x
  2. Step 2: Convert to fraction form
    1,806.73/2,705.77 = 982.96/x
  3. Step 3: Cross multiply
    1,806.73x = 2,705.77 × 982.96
  4. Step 4: Simplify right side
    1,806.73x = 2,659,663.68
  5. Step 5: Solve for x
    x = 2,659,663.68/1,806.73
  6. Step 6: Final answer
    x = 1,472.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.