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Finding the Fourth Proportional to 2,080.74, 2,855.24 and 1,892.79

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Solution

The fourth proportional to 2,080.74, 2,855.24 and 1,892.79 is: 2,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.74 : 2,855.24 = 1,892.79 : x
  2. Step 2: Convert to fraction form
    2,080.74/2,855.24 = 1,892.79/x
  3. Step 3: Cross multiply
    2,080.74x = 2,855.24 × 1,892.79
  4. Step 4: Simplify right side
    2,080.74x = 5,404,369.72
  5. Step 5: Solve for x
    x = 5,404,369.72/2,080.74
  6. Step 6: Final answer
    x = 2,597.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.