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Finding the Fourth Proportional to 1,822.17, 2,734.38 and 834.84

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Solution

The fourth proportional to 1,822.17, 2,734.38 and 834.84 is: 1,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.17 : 2,734.38 = 834.84 : x
  2. Step 2: Convert to fraction form
    1,822.17/2,734.38 = 834.84/x
  3. Step 3: Cross multiply
    1,822.17x = 2,734.38 × 834.84
  4. Step 4: Simplify right side
    1,822.17x = 2,282,769.80
  5. Step 5: Solve for x
    x = 2,282,769.80/1,822.17
  6. Step 6: Final answer
    x = 1,252.78

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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.