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Finding the Fourth Proportional to 2,833.97, 3,910.89 and 1,654.82

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Solution

The fourth proportional to 2,833.97, 3,910.89 and 1,654.82 is: 2,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.97 : 3,910.89 = 1,654.82 : x
  2. Step 2: Convert to fraction form
    2,833.97/3,910.89 = 1,654.82/x
  3. Step 3: Cross multiply
    2,833.97x = 3,910.89 × 1,654.82
  4. Step 4: Simplify right side
    2,833.97x = 6,471,799.44
  5. Step 5: Solve for x
    x = 6,471,799.44/2,833.97
  6. Step 6: Final answer
    x = 2,283.66

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1.5x scale

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.