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Finding the Fourth Proportional to 2,942.38, 4,060.67 and 1,700.38

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Solution

The fourth proportional to 2,942.38, 4,060.67 and 1,700.38 is: 2,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.38 : 4,060.67 = 1,700.38 : x
  2. Step 2: Convert to fraction form
    2,942.38/4,060.67 = 1,700.38/x
  3. Step 3: Cross multiply
    2,942.38x = 4,060.67 × 1,700.38
  4. Step 4: Simplify right side
    2,942.38x = 6,904,682.05
  5. Step 5: Solve for x
    x = 6,904,682.05/2,942.38
  6. Step 6: Final answer
    x = 2,346.63

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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.