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Finding the Fourth Proportional to 2,754.72, 3,806.97 and 2,256.57

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Solution

The fourth proportional to 2,754.72, 3,806.97 and 2,256.57 is: 3,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.72 : 3,806.97 = 2,256.57 : x
  2. Step 2: Convert to fraction form
    2,754.72/3,806.97 = 2,256.57/x
  3. Step 3: Cross multiply
    2,754.72x = 3,806.97 × 2,256.57
  4. Step 4: Simplify right side
    2,754.72x = 8,590,694.29
  5. Step 5: Solve for x
    x = 8,590,694.29/2,754.72
  6. Step 6: Final answer
    x = 3,118.54

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1.5x scale

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.