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Finding the Fourth Proportional to 2,837.52, 4,255.92 and 889.56

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Solution

The fourth proportional to 2,837.52, 4,255.92 and 889.56 is: 1,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.52 : 4,255.92 = 889.56 : x
  2. Step 2: Convert to fraction form
    2,837.52/4,255.92 = 889.56/x
  3. Step 3: Cross multiply
    2,837.52x = 4,255.92 × 889.56
  4. Step 4: Simplify right side
    2,837.52x = 3,785,896.20
  5. Step 5: Solve for x
    x = 3,785,896.20/2,837.52
  6. Step 6: Final answer
    x = 1,334.23

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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.