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Finding the Fourth Proportional to 2,704.66, 3,732.82 and 1,525.84

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Solution

The fourth proportional to 2,704.66, 3,732.82 and 1,525.84 is: 2,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.66 : 3,732.82 = 1,525.84 : x
  2. Step 2: Convert to fraction form
    2,704.66/3,732.82 = 1,525.84/x
  3. Step 3: Cross multiply
    2,704.66x = 3,732.82 × 1,525.84
  4. Step 4: Simplify right side
    2,704.66x = 5,695,686.07
  5. Step 5: Solve for x
    x = 5,695,686.07/2,704.66
  6. Step 6: Final answer
    x = 2,105.88

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