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Finding the Fourth Proportional to 2,796.12, 3,855.87 and 1,734.21

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Solution

The fourth proportional to 2,796.12, 3,855.87 and 1,734.21 is: 2,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.12 : 3,855.87 = 1,734.21 : x
  2. Step 2: Convert to fraction form
    2,796.12/3,855.87 = 1,734.21/x
  3. Step 3: Cross multiply
    2,796.12x = 3,855.87 × 1,734.21
  4. Step 4: Simplify right side
    2,796.12x = 6,686,888.31
  5. Step 5: Solve for x
    x = 6,686,888.31/2,796.12
  6. Step 6: Final answer
    x = 2,391.49

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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.