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Finding the Fourth Proportional to 2,753.82, 3,801.20 and 1,576.08

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Solution

The fourth proportional to 2,753.82, 3,801.20 and 1,576.08 is: 2,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.82 : 3,801.20 = 1,576.08 : x
  2. Step 2: Convert to fraction form
    2,753.82/3,801.20 = 1,576.08/x
  3. Step 3: Cross multiply
    2,753.82x = 3,801.20 × 1,576.08
  4. Step 4: Simplify right side
    2,753.82x = 5,990,987.42
  5. Step 5: Solve for x
    x = 5,990,987.42/2,753.82
  6. Step 6: Final answer
    x = 2,175.52

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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.