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Finding the Fourth Proportional to 2,771.36, 4,152.72 and 2,227.04

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Solution

The fourth proportional to 2,771.36, 4,152.72 and 2,227.04 is: 3,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.36 : 4,152.72 = 2,227.04 : x
  2. Step 2: Convert to fraction form
    2,771.36/4,152.72 = 2,227.04/x
  3. Step 3: Cross multiply
    2,771.36x = 4,152.72 × 2,227.04
  4. Step 4: Simplify right side
    2,771.36x = 9,248,273.55
  5. Step 5: Solve for x
    x = 9,248,273.55/2,771.36
  6. Step 6: Final answer
    x = 3,337.09

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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.