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Finding the Fourth Proportional to 2,091.78, 2,884.92 and 1,761

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Solution

The fourth proportional to 2,091.78, 2,884.92 and 1,761 is: 2,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.78 : 2,884.92 = 1,761 : x
  2. Step 2: Convert to fraction form
    2,091.78/2,884.92 = 1,761/x
  3. Step 3: Cross multiply
    2,091.78x = 2,884.92 × 1,761
  4. Step 4: Simplify right side
    2,091.78x = 5,080,344.12
  5. Step 5: Solve for x
    x = 5,080,344.12/2,091.78
  6. Step 6: Final answer
    x = 2,428.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.