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Finding the Fourth Proportional to 2,057.94, 2,839.37 and 1,218.27

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Solution

The fourth proportional to 2,057.94, 2,839.37 and 1,218.27 is: 1,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.94 : 2,839.37 = 1,218.27 : x
  2. Step 2: Convert to fraction form
    2,057.94/2,839.37 = 1,218.27/x
  3. Step 3: Cross multiply
    2,057.94x = 2,839.37 × 1,218.27
  4. Step 4: Simplify right side
    2,057.94x = 3,459,119.29
  5. Step 5: Solve for x
    x = 3,459,119.29/2,057.94
  6. Step 6: Final answer
    x = 1,680.87

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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.