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Finding the Fourth Proportional to 3,422.81, 4,723.83 and 2,096.28

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Solution

The fourth proportional to 3,422.81, 4,723.83 and 2,096.28 is: 2,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.81 : 4,723.83 = 2,096.28 : x
  2. Step 2: Convert to fraction form
    3,422.81/4,723.83 = 2,096.28/x
  3. Step 3: Cross multiply
    3,422.81x = 4,723.83 × 2,096.28
  4. Step 4: Simplify right side
    3,422.81x = 9,902,470.35
  5. Step 5: Solve for x
    x = 9,902,470.35/3,422.81
  6. Step 6: Final answer
    x = 2,893.08

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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.