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Finding the Fourth Proportional to 2,861.22, 4,290.92 and 912.97

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Solution

The fourth proportional to 2,861.22, 4,290.92 and 912.97 is: 1,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.22 : 4,290.92 = 912.97 : x
  2. Step 2: Convert to fraction form
    2,861.22/4,290.92 = 912.97/x
  3. Step 3: Cross multiply
    2,861.22x = 4,290.92 × 912.97
  4. Step 4: Simplify right side
    2,861.22x = 3,917,481.23
  5. Step 5: Solve for x
    x = 3,917,481.23/2,861.22
  6. Step 6: Final answer
    x = 1,369.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.