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Finding the Fourth Proportional to 2,796.13, 3,864 and 2,323.54

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Solution

The fourth proportional to 2,796.13, 3,864 and 2,323.54 is: 3,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.13 : 3,864 = 2,323.54 : x
  2. Step 2: Convert to fraction form
    2,796.13/3,864 = 2,323.54/x
  3. Step 3: Cross multiply
    2,796.13x = 3,864 × 2,323.54
  4. Step 4: Simplify right side
    2,796.13x = 8,978,158.56
  5. Step 5: Solve for x
    x = 8,978,158.56/2,796.13
  6. Step 6: Final answer
    x = 3,210.92

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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.