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Finding the Fourth Proportional to 1,734.26, 2,601.59 and 809.73

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Solution

The fourth proportional to 1,734.26, 2,601.59 and 809.73 is: 1,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.26 : 2,601.59 = 809.73 : x
  2. Step 2: Convert to fraction form
    1,734.26/2,601.59 = 809.73/x
  3. Step 3: Cross multiply
    1,734.26x = 2,601.59 × 809.73
  4. Step 4: Simplify right side
    1,734.26x = 2,106,581.42
  5. Step 5: Solve for x
    x = 2,106,581.42/1,734.26
  6. Step 6: Final answer
    x = 1,214.69

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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.