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Finding the Fourth Proportional to 2,059.74, 2,843.74 and 1,586.75

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Solution

The fourth proportional to 2,059.74, 2,843.74 and 1,586.75 is: 2,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.74 : 2,843.74 = 1,586.75 : x
  2. Step 2: Convert to fraction form
    2,059.74/2,843.74 = 1,586.75/x
  3. Step 3: Cross multiply
    2,059.74x = 2,843.74 × 1,586.75
  4. Step 4: Simplify right side
    2,059.74x = 4,512,286.26
  5. Step 5: Solve for x
    x = 4,512,286.26/2,059.74
  6. Step 6: Final answer
    x = 2,190.71

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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.