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Finding the Fourth Proportional to 1,694.43, 2,542.86 and 965.43

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Solution

The fourth proportional to 1,694.43, 2,542.86 and 965.43 is: 1,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.43 : 2,542.86 = 965.43 : x
  2. Step 2: Convert to fraction form
    1,694.43/2,542.86 = 965.43/x
  3. Step 3: Cross multiply
    1,694.43x = 2,542.86 × 965.43
  4. Step 4: Simplify right side
    1,694.43x = 2,454,953.33
  5. Step 5: Solve for x
    x = 2,454,953.33/1,694.43
  6. Step 6: Final answer
    x = 1,448.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.