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Finding the Fourth Proportional to 2,997.38, 4,135.92 and 1,670.88

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Solution

The fourth proportional to 2,997.38, 4,135.92 and 1,670.88 is: 2,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.38 : 4,135.92 = 1,670.88 : x
  2. Step 2: Convert to fraction form
    2,997.38/4,135.92 = 1,670.88/x
  3. Step 3: Cross multiply
    2,997.38x = 4,135.92 × 1,670.88
  4. Step 4: Simplify right side
    2,997.38x = 6,910,626.01
  5. Step 5: Solve for x
    x = 6,910,626.01/2,997.38
  6. Step 6: Final answer
    x = 2,305.56

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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.