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Finding the Fourth Proportional to 2,704.97, 3,732.61 and 1,525.81

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Solution

The fourth proportional to 2,704.97, 3,732.61 and 1,525.81 is: 2,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.97 : 3,732.61 = 1,525.81 : x
  2. Step 2: Convert to fraction form
    2,704.97/3,732.61 = 1,525.81/x
  3. Step 3: Cross multiply
    2,704.97x = 3,732.61 × 1,525.81
  4. Step 4: Simplify right side
    2,704.97x = 5,695,253.66
  5. Step 5: Solve for x
    x = 5,695,253.66/2,704.97
  6. Step 6: Final answer
    x = 2,105.48

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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.