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Finding the Fourth Proportional to 2,704, 3,732.06 and 1,525.09

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Solution

The fourth proportional to 2,704, 3,732.06 and 1,525.09 is: 2,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704 : 3,732.06 = 1,525.09 : x
  2. Step 2: Convert to fraction form
    2,704/3,732.06 = 1,525.09/x
  3. Step 3: Cross multiply
    2,704x = 3,732.06 × 1,525.09
  4. Step 4: Simplify right side
    2,704x = 5,691,727.39
  5. Step 5: Solve for x
    x = 5,691,727.39/2,704
  6. Step 6: Final answer
    x = 2,104.93

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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.