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Finding the Fourth Proportional to 2,728.17, 3,764.69 and 1,609.05

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Solution

The fourth proportional to 2,728.17, 3,764.69 and 1,609.05 is: 2,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.17 : 3,764.69 = 1,609.05 : x
  2. Step 2: Convert to fraction form
    2,728.17/3,764.69 = 1,609.05/x
  3. Step 3: Cross multiply
    2,728.17x = 3,764.69 × 1,609.05
  4. Step 4: Simplify right side
    2,728.17x = 6,057,574.44
  5. Step 5: Solve for x
    x = 6,057,574.44/2,728.17
  6. Step 6: Final answer
    x = 2,220.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.