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Finding the Fourth Proportional to 2,214.43, 3,320.27 and 827.05

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Solution

The fourth proportional to 2,214.43, 3,320.27 and 827.05 is: 1,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.43 : 3,320.27 = 827.05 : x
  2. Step 2: Convert to fraction form
    2,214.43/3,320.27 = 827.05/x
  3. Step 3: Cross multiply
    2,214.43x = 3,320.27 × 827.05
  4. Step 4: Simplify right side
    2,214.43x = 2,746,029.30
  5. Step 5: Solve for x
    x = 2,746,029.30/2,214.43
  6. Step 6: Final answer
    x = 1,240.06

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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.