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Finding the Fourth Proportional to 2,753.69, 3,800.75 and 1,575.41

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Solution

The fourth proportional to 2,753.69, 3,800.75 and 1,575.41 is: 2,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.69 : 3,800.75 = 1,575.41 : x
  2. Step 2: Convert to fraction form
    2,753.69/3,800.75 = 1,575.41/x
  3. Step 3: Cross multiply
    2,753.69x = 3,800.75 × 1,575.41
  4. Step 4: Simplify right side
    2,753.69x = 5,987,712.68
  5. Step 5: Solve for x
    x = 5,987,712.68/2,753.69
  6. Step 6: Final answer
    x = 2,174.44

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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.