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Finding the Fourth Proportional to 2,738.26, 4,107.54 and 889.54

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Solution

The fourth proportional to 2,738.26, 4,107.54 and 889.54 is: 1,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.26 : 4,107.54 = 889.54 : x
  2. Step 2: Convert to fraction form
    2,738.26/4,107.54 = 889.54/x
  3. Step 3: Cross multiply
    2,738.26x = 4,107.54 × 889.54
  4. Step 4: Simplify right side
    2,738.26x = 3,653,821.13
  5. Step 5: Solve for x
    x = 3,653,821.13/2,738.26
  6. Step 6: Final answer
    x = 1,334.36

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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.