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Finding the Fourth Proportional to 1,961.80, 2,953.39 and 1,693.96

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Solution

The fourth proportional to 1,961.80, 2,953.39 and 1,693.96 is: 2,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.80 : 2,953.39 = 1,693.96 : x
  2. Step 2: Convert to fraction form
    1,961.80/2,953.39 = 1,693.96/x
  3. Step 3: Cross multiply
    1,961.80x = 2,953.39 × 1,693.96
  4. Step 4: Simplify right side
    1,961.80x = 5,002,924.52
  5. Step 5: Solve for x
    x = 5,002,924.52/1,961.80
  6. Step 6: Final answer
    x = 2,550.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.