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Finding the Fourth Proportional to 2,091.14, 3,136.86 and 859.13

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Solution

The fourth proportional to 2,091.14, 3,136.86 and 859.13 is: 1,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.14 : 3,136.86 = 859.13 : x
  2. Step 2: Convert to fraction form
    2,091.14/3,136.86 = 859.13/x
  3. Step 3: Cross multiply
    2,091.14x = 3,136.86 × 859.13
  4. Step 4: Simplify right side
    2,091.14x = 2,694,954.85
  5. Step 5: Solve for x
    x = 2,694,954.85/2,091.14
  6. Step 6: Final answer
    x = 1,288.75

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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.