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Finding the Fourth Proportional to 1,789.50, 2,684.25 and 865.83

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Solution

The fourth proportional to 1,789.50, 2,684.25 and 865.83 is: 1,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.50 : 2,684.25 = 865.83 : x
  2. Step 2: Convert to fraction form
    1,789.50/2,684.25 = 865.83/x
  3. Step 3: Cross multiply
    1,789.50x = 2,684.25 × 865.83
  4. Step 4: Simplify right side
    1,789.50x = 2,324,104.18
  5. Step 5: Solve for x
    x = 2,324,104.18/1,789.50
  6. Step 6: Final answer
    x = 1,298.75

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1.5x scale

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.