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Finding the Fourth Proportional to 2,796.37, 3,859.17 and 1,677.36

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Solution

The fourth proportional to 2,796.37, 3,859.17 and 1,677.36 is: 2,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.37 : 3,859.17 = 1,677.36 : x
  2. Step 2: Convert to fraction form
    2,796.37/3,859.17 = 1,677.36/x
  3. Step 3: Cross multiply
    2,796.37x = 3,859.17 × 1,677.36
  4. Step 4: Simplify right side
    2,796.37x = 6,473,217.39
  5. Step 5: Solve for x
    x = 6,473,217.39/2,796.37
  6. Step 6: Final answer
    x = 2,314.86

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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.