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Finding the Fourth Proportional to 2,895.38, 3,997.16 and 2,230.78

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Solution

The fourth proportional to 2,895.38, 3,997.16 and 2,230.78 is: 3,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.38 : 3,997.16 = 2,230.78 : x
  2. Step 2: Convert to fraction form
    2,895.38/3,997.16 = 2,230.78/x
  3. Step 3: Cross multiply
    2,895.38x = 3,997.16 × 2,230.78
  4. Step 4: Simplify right side
    2,895.38x = 8,916,784.58
  5. Step 5: Solve for x
    x = 8,916,784.58/2,895.38
  6. Step 6: Final answer
    x = 3,079.66

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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.