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Finding the Fourth Proportional to 2,734.74, 4,093.74 and 2,529.68

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Solution

The fourth proportional to 2,734.74, 4,093.74 and 2,529.68 is: 3,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.74 : 4,093.74 = 2,529.68 : x
  2. Step 2: Convert to fraction form
    2,734.74/4,093.74 = 2,529.68/x
  3. Step 3: Cross multiply
    2,734.74x = 4,093.74 × 2,529.68
  4. Step 4: Simplify right side
    2,734.74x = 10,355,831.73
  5. Step 5: Solve for x
    x = 10,355,831.73/2,734.74
  6. Step 6: Final answer
    x = 3,786.77

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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.