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Finding the Fourth Proportional to 2,091.80, 2,884.90 and 1,761

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Solution

The fourth proportional to 2,091.80, 2,884.90 and 1,761 is: 2,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.80 : 2,884.90 = 1,761 : x
  2. Step 2: Convert to fraction form
    2,091.80/2,884.90 = 1,761/x
  3. Step 3: Cross multiply
    2,091.80x = 2,884.90 × 1,761
  4. Step 4: Simplify right side
    2,091.80x = 5,080,308.90
  5. Step 5: Solve for x
    x = 5,080,308.90/2,091.80
  6. Step 6: Final answer
    x = 2,428.68

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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.