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Finding the Fourth Proportional to 2,771.44, 4,152.84 and 2,156.80

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Solution

The fourth proportional to 2,771.44, 4,152.84 and 2,156.80 is: 3,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.44 : 4,152.84 = 2,156.80 : x
  2. Step 2: Convert to fraction form
    2,771.44/4,152.84 = 2,156.80/x
  3. Step 3: Cross multiply
    2,771.44x = 4,152.84 × 2,156.80
  4. Step 4: Simplify right side
    2,771.44x = 8,956,845.31
  5. Step 5: Solve for x
    x = 8,956,845.31/2,771.44
  6. Step 6: Final answer
    x = 3,231.84

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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.