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Finding the Fourth Proportional to 2,796.30, 3,856.80 and 2,050.02

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Solution

The fourth proportional to 2,796.30, 3,856.80 and 2,050.02 is: 2,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.30 : 3,856.80 = 2,050.02 : x
  2. Step 2: Convert to fraction form
    2,796.30/3,856.80 = 2,050.02/x
  3. Step 3: Cross multiply
    2,796.30x = 3,856.80 × 2,050.02
  4. Step 4: Simplify right side
    2,796.30x = 7,906,517.14
  5. Step 5: Solve for x
    x = 7,906,517.14/2,796.30
  6. Step 6: Final answer
    x = 2,827.49

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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.