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Finding the Fourth Proportional to 2,940.38, 4,057.91 and 1,698.38

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Solution

The fourth proportional to 2,940.38, 4,057.91 and 1,698.38 is: 2,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.38 : 4,057.91 = 1,698.38 : x
  2. Step 2: Convert to fraction form
    2,940.38/4,057.91 = 1,698.38/x
  3. Step 3: Cross multiply
    2,940.38x = 4,057.91 × 1,698.38
  4. Step 4: Simplify right side
    2,940.38x = 6,891,844.40
  5. Step 5: Solve for x
    x = 6,891,844.40/2,940.38
  6. Step 6: Final answer
    x = 2,343.87

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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.