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Finding the Fourth Proportional to 2,309.73, 3,464.87 and 1,789.04

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Solution

The fourth proportional to 2,309.73, 3,464.87 and 1,789.04 is: 2,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.73 : 3,464.87 = 1,789.04 : x
  2. Step 2: Convert to fraction form
    2,309.73/3,464.87 = 1,789.04/x
  3. Step 3: Cross multiply
    2,309.73x = 3,464.87 × 1,789.04
  4. Step 4: Simplify right side
    2,309.73x = 6,198,764.76
  5. Step 5: Solve for x
    x = 6,198,764.76/2,309.73
  6. Step 6: Final answer
    x = 2,683.76

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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.