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Finding the Fourth Proportional to 2,705.25, 4,058.10 and 757.47

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Solution

The fourth proportional to 2,705.25, 4,058.10 and 757.47 is: 1,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.25 : 4,058.10 = 757.47 : x
  2. Step 2: Convert to fraction form
    2,705.25/4,058.10 = 757.47/x
  3. Step 3: Cross multiply
    2,705.25x = 4,058.10 × 757.47
  4. Step 4: Simplify right side
    2,705.25x = 3,073,889.01
  5. Step 5: Solve for x
    x = 3,073,889.01/2,705.25
  6. Step 6: Final answer
    x = 1,136.27

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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.