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Finding the Fourth Proportional to 2,734.46, 4,101.87 and 786.68

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Solution

The fourth proportional to 2,734.46, 4,101.87 and 786.68 is: 1,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.46 : 4,101.87 = 786.68 : x
  2. Step 2: Convert to fraction form
    2,734.46/4,101.87 = 786.68/x
  3. Step 3: Cross multiply
    2,734.46x = 4,101.87 × 786.68
  4. Step 4: Simplify right side
    2,734.46x = 3,226,859.09
  5. Step 5: Solve for x
    x = 3,226,859.09/2,734.46
  6. Step 6: Final answer
    x = 1,180.07

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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.