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Finding the Fourth Proportional to 1,966.50, 2,694.14 and 1,892.70

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Solution

The fourth proportional to 1,966.50, 2,694.14 and 1,892.70 is: 2,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.50 : 2,694.14 = 1,892.70 : x
  2. Step 2: Convert to fraction form
    1,966.50/2,694.14 = 1,892.70/x
  3. Step 3: Cross multiply
    1,966.50x = 2,694.14 × 1,892.70
  4. Step 4: Simplify right side
    1,966.50x = 5,099,189.31
  5. Step 5: Solve for x
    x = 5,099,189.31/1,966.50
  6. Step 6: Final answer
    x = 2,593.03

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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.