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Finding the Fourth Proportional to 2,964.79, 4,092.20 and 1,705.97

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Solution

The fourth proportional to 2,964.79, 4,092.20 and 1,705.97 is: 2,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.79 : 4,092.20 = 1,705.97 : x
  2. Step 2: Convert to fraction form
    2,964.79/4,092.20 = 1,705.97/x
  3. Step 3: Cross multiply
    2,964.79x = 4,092.20 × 1,705.97
  4. Step 4: Simplify right side
    2,964.79x = 6,981,179.49
  5. Step 5: Solve for x
    x = 6,981,179.49/2,964.79
  6. Step 6: Final answer
    x = 2,354.70

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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.