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Finding the Fourth Proportional to 2,965.38, 4,093.56 and 2,130.27

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Solution

The fourth proportional to 2,965.38, 4,093.56 and 2,130.27 is: 2,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.38 : 4,093.56 = 2,130.27 : x
  2. Step 2: Convert to fraction form
    2,965.38/4,093.56 = 2,130.27/x
  3. Step 3: Cross multiply
    2,965.38x = 4,093.56 × 2,130.27
  4. Step 4: Simplify right side
    2,965.38x = 8,720,388.06
  5. Step 5: Solve for x
    x = 8,720,388.06/2,965.38
  6. Step 6: Final answer
    x = 2,940.73

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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.