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Finding the Fourth Proportional to 2,771.94, 4,154.56 and 1,211.27

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Solution

The fourth proportional to 2,771.94, 4,154.56 and 1,211.27 is: 1,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.94 : 4,154.56 = 1,211.27 : x
  2. Step 2: Convert to fraction form
    2,771.94/4,154.56 = 1,211.27/x
  3. Step 3: Cross multiply
    2,771.94x = 4,154.56 × 1,211.27
  4. Step 4: Simplify right side
    2,771.94x = 5,032,293.89
  5. Step 5: Solve for x
    x = 5,032,293.89/2,771.94
  6. Step 6: Final answer
    x = 1,815.44

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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.