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Finding the Fourth Proportional to 2,114.73, 2,892.42 and 2,080.71

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Solution

The fourth proportional to 2,114.73, 2,892.42 and 2,080.71 is: 2,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.73 : 2,892.42 = 2,080.71 : x
  2. Step 2: Convert to fraction form
    2,114.73/2,892.42 = 2,080.71/x
  3. Step 3: Cross multiply
    2,114.73x = 2,892.42 × 2,080.71
  4. Step 4: Simplify right side
    2,114.73x = 6,018,287.22
  5. Step 5: Solve for x
    x = 6,018,287.22/2,114.73
  6. Step 6: Final answer
    x = 2,845.89

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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.