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Finding the Fourth Proportional to 3,422.96, 4,723.62 and 2,243.95

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Solution

The fourth proportional to 3,422.96, 4,723.62 and 2,243.95 is: 3,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.96 : 4,723.62 = 2,243.95 : x
  2. Step 2: Convert to fraction form
    3,422.96/4,723.62 = 2,243.95/x
  3. Step 3: Cross multiply
    3,422.96x = 4,723.62 × 2,243.95
  4. Step 4: Simplify right side
    3,422.96x = 10,599,573.45
  5. Step 5: Solve for x
    x = 10,599,573.45/3,422.96
  6. Step 6: Final answer
    x = 3,096.61

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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.