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Finding the Fourth Proportional to 2,494.22, 3,742 and 2,222.18

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Solution

The fourth proportional to 2,494.22, 3,742 and 2,222.18 is: 3,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.22 : 3,742 = 2,222.18 : x
  2. Step 2: Convert to fraction form
    2,494.22/3,742 = 2,222.18/x
  3. Step 3: Cross multiply
    2,494.22x = 3,742 × 2,222.18
  4. Step 4: Simplify right side
    2,494.22x = 8,315,397.56
  5. Step 5: Solve for x
    x = 8,315,397.56/2,494.22
  6. Step 6: Final answer
    x = 3,333.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.