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Finding the Fourth Proportional to 3,096.68, 4,270.14 and 2,212.16

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Solution

The fourth proportional to 3,096.68, 4,270.14 and 2,212.16 is: 3,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.68 : 4,270.14 = 2,212.16 : x
  2. Step 2: Convert to fraction form
    3,096.68/4,270.14 = 2,212.16/x
  3. Step 3: Cross multiply
    3,096.68x = 4,270.14 × 2,212.16
  4. Step 4: Simplify right side
    3,096.68x = 9,446,232.90
  5. Step 5: Solve for x
    x = 9,446,232.90/3,096.68
  6. Step 6: Final answer
    x = 3,050.44

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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.