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Finding the Fourth Proportional to 1,786.36, 2,680.12 and 849.70

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Solution

The fourth proportional to 1,786.36, 2,680.12 and 849.70 is: 1,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.36 : 2,680.12 = 849.70 : x
  2. Step 2: Convert to fraction form
    1,786.36/2,680.12 = 849.70/x
  3. Step 3: Cross multiply
    1,786.36x = 2,680.12 × 849.70
  4. Step 4: Simplify right side
    1,786.36x = 2,277,297.96
  5. Step 5: Solve for x
    x = 2,277,297.96/1,786.36
  6. Step 6: Final answer
    x = 1,274.83

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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.