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Finding the Fourth Proportional to 2,162.70, 2,997.41 and 1,944

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Solution

The fourth proportional to 2,162.70, 2,997.41 and 1,944 is: 2,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.70 : 2,997.41 = 1,944 : x
  2. Step 2: Convert to fraction form
    2,162.70/2,997.41 = 1,944/x
  3. Step 3: Cross multiply
    2,162.70x = 2,997.41 × 1,944
  4. Step 4: Simplify right side
    2,162.70x = 5,826,955.32
  5. Step 5: Solve for x
    x = 5,826,955.32/2,162.70
  6. Step 6: Final answer
    x = 2,694.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.