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Finding the Fourth Proportional to 1,789.30, 2,685.68 and 865.50

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Solution

The fourth proportional to 1,789.30, 2,685.68 and 865.50 is: 1,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.30 : 2,685.68 = 865.50 : x
  2. Step 2: Convert to fraction form
    1,789.30/2,685.68 = 865.50/x
  3. Step 3: Cross multiply
    1,789.30x = 2,685.68 × 865.50
  4. Step 4: Simplify right side
    1,789.30x = 2,324,456.04
  5. Step 5: Solve for x
    x = 2,324,456.04/1,789.30
  6. Step 6: Final answer
    x = 1,299.09

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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.