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Finding the Fourth Proportional to 2,706.90, 4,058.83 and 1,062.80

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Solution

The fourth proportional to 2,706.90, 4,058.83 and 1,062.80 is: 1,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.90 : 4,058.83 = 1,062.80 : x
  2. Step 2: Convert to fraction form
    2,706.90/4,058.83 = 1,062.80/x
  3. Step 3: Cross multiply
    2,706.90x = 4,058.83 × 1,062.80
  4. Step 4: Simplify right side
    2,706.90x = 4,313,732.01
  5. Step 5: Solve for x
    x = 4,313,732.01/2,706.90
  6. Step 6: Final answer
    x = 1,593.61

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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.