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Finding the Fourth Proportional to 2,217.14, 3,328.14 and 1,293.74

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Solution

The fourth proportional to 2,217.14, 3,328.14 and 1,293.74 is: 1,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.14 : 3,328.14 = 1,293.74 : x
  2. Step 2: Convert to fraction form
    2,217.14/3,328.14 = 1,293.74/x
  3. Step 3: Cross multiply
    2,217.14x = 3,328.14 × 1,293.74
  4. Step 4: Simplify right side
    2,217.14x = 4,305,747.84
  5. Step 5: Solve for x
    x = 4,305,747.84/2,217.14
  6. Step 6: Final answer
    x = 1,942.03

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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.