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Finding the Fourth Proportional to 3,312.56, 4,568.34 and 2,194.62

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Solution

The fourth proportional to 3,312.56, 4,568.34 and 2,194.62 is: 3,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.56 : 4,568.34 = 2,194.62 : x
  2. Step 2: Convert to fraction form
    3,312.56/4,568.34 = 2,194.62/x
  3. Step 3: Cross multiply
    3,312.56x = 4,568.34 × 2,194.62
  4. Step 4: Simplify right side
    3,312.56x = 10,025,770.33
  5. Step 5: Solve for x
    x = 10,025,770.33/3,312.56
  6. Step 6: Final answer
    x = 3,026.59

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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.