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Finding the Fourth Proportional to 3,422.94, 4,724.79 and 2,096.70

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Solution

The fourth proportional to 3,422.94, 4,724.79 and 2,096.70 is: 2,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.94 : 4,724.79 = 2,096.70 : x
  2. Step 2: Convert to fraction form
    3,422.94/4,724.79 = 2,096.70/x
  3. Step 3: Cross multiply
    3,422.94x = 4,724.79 × 2,096.70
  4. Step 4: Simplify right side
    3,422.94x = 9,906,467.19
  5. Step 5: Solve for x
    x = 9,906,467.19/3,422.94
  6. Step 6: Final answer
    x = 2,894.14

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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.