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Finding the Fourth Proportional to 2,796.15, 3,859.50 and 1,734.24

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Solution

The fourth proportional to 2,796.15, 3,859.50 and 1,734.24 is: 2,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.15 : 3,859.50 = 1,734.24 : x
  2. Step 2: Convert to fraction form
    2,796.15/3,859.50 = 1,734.24/x
  3. Step 3: Cross multiply
    2,796.15x = 3,859.50 × 1,734.24
  4. Step 4: Simplify right side
    2,796.15x = 6,693,299.28
  5. Step 5: Solve for x
    x = 6,693,299.28/2,796.15
  6. Step 6: Final answer
    x = 2,393.76

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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.