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Finding the Fourth Proportional to 2,786.84, 4,180.26 and 839.34

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Solution

The fourth proportional to 2,786.84, 4,180.26 and 839.34 is: 1,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.84 : 4,180.26 = 839.34 : x
  2. Step 2: Convert to fraction form
    2,786.84/4,180.26 = 839.34/x
  3. Step 3: Cross multiply
    2,786.84x = 4,180.26 × 839.34
  4. Step 4: Simplify right side
    2,786.84x = 3,508,659.43
  5. Step 5: Solve for x
    x = 3,508,659.43/2,786.84
  6. Step 6: Final answer
    x = 1,259.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.