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Finding the Fourth Proportional to 2,734.20, 4,101.84 and 786.42

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Solution

The fourth proportional to 2,734.20, 4,101.84 and 786.42 is: 1,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.20 : 4,101.84 = 786.42 : x
  2. Step 2: Convert to fraction form
    2,734.20/4,101.84 = 786.42/x
  3. Step 3: Cross multiply
    2,734.20x = 4,101.84 × 786.42
  4. Step 4: Simplify right side
    2,734.20x = 3,225,769.01
  5. Step 5: Solve for x
    x = 3,225,769.01/2,734.20
  6. Step 6: Final answer
    x = 1,179.79

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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.