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Finding the Fourth Proportional to 1,734.49, 2,601.26 and 809.13

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Solution

The fourth proportional to 1,734.49, 2,601.26 and 809.13 is: 1,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.49 : 2,601.26 = 809.13 : x
  2. Step 2: Convert to fraction form
    1,734.49/2,601.26 = 809.13/x
  3. Step 3: Cross multiply
    1,734.49x = 2,601.26 × 809.13
  4. Step 4: Simplify right side
    1,734.49x = 2,104,757.50
  5. Step 5: Solve for x
    x = 2,104,757.50/1,734.49
  6. Step 6: Final answer
    x = 1,213.47

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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.