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Finding the Fourth Proportional to 1,734.70, 2,600.21 and 809.18

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Solution

The fourth proportional to 1,734.70, 2,600.21 and 809.18 is: 1,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.70 : 2,600.21 = 809.18 : x
  2. Step 2: Convert to fraction form
    1,734.70/2,600.21 = 809.18/x
  3. Step 3: Cross multiply
    1,734.70x = 2,600.21 × 809.18
  4. Step 4: Simplify right side
    1,734.70x = 2,104,037.93
  5. Step 5: Solve for x
    x = 2,104,037.93/1,734.70
  6. Step 6: Final answer
    x = 1,212.91

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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.