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Finding the Fourth Proportional to 2,753.48, 3,799.74 and 1,574.38

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Solution

The fourth proportional to 2,753.48, 3,799.74 and 1,574.38 is: 2,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.48 : 3,799.74 = 1,574.38 : x
  2. Step 2: Convert to fraction form
    2,753.48/3,799.74 = 1,574.38/x
  3. Step 3: Cross multiply
    2,753.48x = 3,799.74 × 1,574.38
  4. Step 4: Simplify right side
    2,753.48x = 5,982,234.66
  5. Step 5: Solve for x
    x = 5,982,234.66/2,753.48
  6. Step 6: Final answer
    x = 2,172.61

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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.