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Finding the Fourth Proportional to 2,720.96, 4,081.94 and 1,160.96

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Solution

The fourth proportional to 2,720.96, 4,081.94 and 1,160.96 is: 1,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.96 : 4,081.94 = 1,160.96 : x
  2. Step 2: Convert to fraction form
    2,720.96/4,081.94 = 1,160.96/x
  3. Step 3: Cross multiply
    2,720.96x = 4,081.94 × 1,160.96
  4. Step 4: Simplify right side
    2,720.96x = 4,738,969.06
  5. Step 5: Solve for x
    x = 4,738,969.06/2,720.96
  6. Step 6: Final answer
    x = 1,741.65

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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.