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Finding the Fourth Proportional to 2,701, 3,727.92 and 1,522.09

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Solution

The fourth proportional to 2,701, 3,727.92 and 1,522.09 is: 2,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701 : 3,727.92 = 1,522.09 : x
  2. Step 2: Convert to fraction form
    2,701/3,727.92 = 1,522.09/x
  3. Step 3: Cross multiply
    2,701x = 3,727.92 × 1,522.09
  4. Step 4: Simplify right side
    2,701x = 5,674,229.75
  5. Step 5: Solve for x
    x = 5,674,229.75/2,701
  6. Step 6: Final answer
    x = 2,100.79

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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.