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Finding the Fourth Proportional to 2,125.97, 2,933.84 and 1,194.47

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Solution

The fourth proportional to 2,125.97, 2,933.84 and 1,194.47 is: 1,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.97 : 2,933.84 = 1,194.47 : x
  2. Step 2: Convert to fraction form
    2,125.97/2,933.84 = 1,194.47/x
  3. Step 3: Cross multiply
    2,125.97x = 2,933.84 × 1,194.47
  4. Step 4: Simplify right side
    2,125.97x = 3,504,363.22
  5. Step 5: Solve for x
    x = 3,504,363.22/2,125.97
  6. Step 6: Final answer
    x = 1,648.36

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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.