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Finding the Fourth Proportional to 2,093.70, 2,889.25 and 1,149.49

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Solution

The fourth proportional to 2,093.70, 2,889.25 and 1,149.49 is: 1,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.70 : 2,889.25 = 1,149.49 : x
  2. Step 2: Convert to fraction form
    2,093.70/2,889.25 = 1,149.49/x
  3. Step 3: Cross multiply
    2,093.70x = 2,889.25 × 1,149.49
  4. Step 4: Simplify right side
    2,093.70x = 3,321,163.98
  5. Step 5: Solve for x
    x = 3,321,163.98/2,093.70
  6. Step 6: Final answer
    x = 1,586.27

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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.