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Finding the Fourth Proportional to 2,213.71, 3,320.58 and 827.03

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Solution

The fourth proportional to 2,213.71, 3,320.58 and 827.03 is: 1,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.71 : 3,320.58 = 827.03 : x
  2. Step 2: Convert to fraction form
    2,213.71/3,320.58 = 827.03/x
  3. Step 3: Cross multiply
    2,213.71x = 3,320.58 × 827.03
  4. Step 4: Simplify right side
    2,213.71x = 2,746,226.03
  5. Step 5: Solve for x
    x = 2,746,226.03/2,213.71
  6. Step 6: Final answer
    x = 1,240.55

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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.