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Finding the Fourth Proportional to 2,212.14, 3,318.19 and 673.14

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Solution

The fourth proportional to 2,212.14, 3,318.19 and 673.14 is: 1,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.14 : 3,318.19 = 673.14 : x
  2. Step 2: Convert to fraction form
    2,212.14/3,318.19 = 673.14/x
  3. Step 3: Cross multiply
    2,212.14x = 3,318.19 × 673.14
  4. Step 4: Simplify right side
    2,212.14x = 2,233,606.42
  5. Step 5: Solve for x
    x = 2,233,606.42/2,212.14
  6. Step 6: Final answer
    x = 1,009.70

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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.