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Finding the Fourth Proportional to 3,469.14, 4,786.79 and 2,052.13

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Solution

The fourth proportional to 3,469.14, 4,786.79 and 2,052.13 is: 2,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.14 : 4,786.79 = 2,052.13 : x
  2. Step 2: Convert to fraction form
    3,469.14/4,786.79 = 2,052.13/x
  3. Step 3: Cross multiply
    3,469.14x = 4,786.79 × 2,052.13
  4. Step 4: Simplify right side
    3,469.14x = 9,823,091.43
  5. Step 5: Solve for x
    x = 9,823,091.43/3,469.14
  6. Step 6: Final answer
    x = 2,831.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.