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Finding the Fourth Proportional to 2,720.72, 4,081.08 and 2,147.60

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Solution

The fourth proportional to 2,720.72, 4,081.08 and 2,147.60 is: 3,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.72 : 4,081.08 = 2,147.60 : x
  2. Step 2: Convert to fraction form
    2,720.72/4,081.08 = 2,147.60/x
  3. Step 3: Cross multiply
    2,720.72x = 4,081.08 × 2,147.60
  4. Step 4: Simplify right side
    2,720.72x = 8,764,527.41
  5. Step 5: Solve for x
    x = 8,764,527.41/2,720.72
  6. Step 6: Final answer
    x = 3,221.40

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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.