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Finding the Fourth Proportional to 2,919.66, 4,029.08 and 1,593.38

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Solution

The fourth proportional to 2,919.66, 4,029.08 and 1,593.38 is: 2,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.66 : 4,029.08 = 1,593.38 : x
  2. Step 2: Convert to fraction form
    2,919.66/4,029.08 = 1,593.38/x
  3. Step 3: Cross multiply
    2,919.66x = 4,029.08 × 1,593.38
  4. Step 4: Simplify right side
    2,919.66x = 6,419,855.49
  5. Step 5: Solve for x
    x = 6,419,855.49/2,919.66
  6. Step 6: Final answer
    x = 2,198.84

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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.