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Finding the Fourth Proportional to 2,706.70, 4,057.07 and 1,768.49

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Solution

The fourth proportional to 2,706.70, 4,057.07 and 1,768.49 is: 2,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.70 : 4,057.07 = 1,768.49 : x
  2. Step 2: Convert to fraction form
    2,706.70/4,057.07 = 1,768.49/x
  3. Step 3: Cross multiply
    2,706.70x = 4,057.07 × 1,768.49
  4. Step 4: Simplify right side
    2,706.70x = 7,174,867.44
  5. Step 5: Solve for x
    x = 7,174,867.44/2,706.70
  6. Step 6: Final answer
    x = 2,650.79

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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.