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Finding the Fourth Proportional to 2,753.17, 3,799.15 and 1,634.38

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Solution

The fourth proportional to 2,753.17, 3,799.15 and 1,634.38 is: 2,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.17 : 3,799.15 = 1,634.38 : x
  2. Step 2: Convert to fraction form
    2,753.17/3,799.15 = 1,634.38/x
  3. Step 3: Cross multiply
    2,753.17x = 3,799.15 × 1,634.38
  4. Step 4: Simplify right side
    2,753.17x = 6,209,241.19
  5. Step 5: Solve for x
    x = 6,209,241.19/2,753.17
  6. Step 6: Final answer
    x = 2,255.31

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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.