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Finding the Fourth Proportional to 1,789.92, 2,685.89 and 694.35

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Solution

The fourth proportional to 1,789.92, 2,685.89 and 694.35 is: 1,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.92 : 2,685.89 = 694.35 : x
  2. Step 2: Convert to fraction form
    1,789.92/2,685.89 = 694.35/x
  3. Step 3: Cross multiply
    1,789.92x = 2,685.89 × 694.35
  4. Step 4: Simplify right side
    1,789.92x = 1,864,944.25
  5. Step 5: Solve for x
    x = 1,864,944.25/1,789.92
  6. Step 6: Final answer
    x = 1,041.91

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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.