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Finding the Fourth Proportional to 1,965.97, 2,713.17 and 1,294.21

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Solution

The fourth proportional to 1,965.97, 2,713.17 and 1,294.21 is: 1,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.97 : 2,713.17 = 1,294.21 : x
  2. Step 2: Convert to fraction form
    1,965.97/2,713.17 = 1,294.21/x
  3. Step 3: Cross multiply
    1,965.97x = 2,713.17 × 1,294.21
  4. Step 4: Simplify right side
    1,965.97x = 3,511,411.75
  5. Step 5: Solve for x
    x = 3,511,411.75/1,965.97
  6. Step 6: Final answer
    x = 1,786.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.