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Finding the Fourth Proportional to 2,214, 3,323.52 and 1,290.24

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Solution

The fourth proportional to 2,214, 3,323.52 and 1,290.24 is: 1,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,323.52 = 1,290.24 : x
  2. Step 2: Convert to fraction form
    2,214/3,323.52 = 1,290.24/x
  3. Step 3: Cross multiply
    2,214x = 3,323.52 × 1,290.24
  4. Step 4: Simplify right side
    2,214x = 4,288,138.44
  5. Step 5: Solve for x
    x = 4,288,138.44/2,214
  6. Step 6: Final answer
    x = 1,936.83

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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.