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Finding the Fourth Proportional to 1,995.38, 2,997.38 and 1,687.84

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Solution

The fourth proportional to 1,995.38, 2,997.38 and 1,687.84 is: 2,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.38 : 2,997.38 = 1,687.84 : x
  2. Step 2: Convert to fraction form
    1,995.38/2,997.38 = 1,687.84/x
  3. Step 3: Cross multiply
    1,995.38x = 2,997.38 × 1,687.84
  4. Step 4: Simplify right side
    1,995.38x = 5,059,097.86
  5. Step 5: Solve for x
    x = 5,059,097.86/1,995.38
  6. Step 6: Final answer
    x = 2,535.41

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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.