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Finding the Fourth Proportional to 2,967, 4,091.38 and 2,548.74

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Solution

The fourth proportional to 2,967, 4,091.38 and 2,548.74 is: 3,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967 : 4,091.38 = 2,548.74 : x
  2. Step 2: Convert to fraction form
    2,967/4,091.38 = 2,548.74/x
  3. Step 3: Cross multiply
    2,967x = 4,091.38 × 2,548.74
  4. Step 4: Simplify right side
    2,967x = 10,427,863.86
  5. Step 5: Solve for x
    x = 10,427,863.86/2,967
  6. Step 6: Final answer
    x = 3,514.62

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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.