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Finding the Fourth Proportional to 2,081.26, 3,120.81 and 847.99

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Solution

The fourth proportional to 2,081.26, 3,120.81 and 847.99 is: 1,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.26 : 3,120.81 = 847.99 : x
  2. Step 2: Convert to fraction form
    2,081.26/3,120.81 = 847.99/x
  3. Step 3: Cross multiply
    2,081.26x = 3,120.81 × 847.99
  4. Step 4: Simplify right side
    2,081.26x = 2,646,415.67
  5. Step 5: Solve for x
    x = 2,646,415.67/2,081.26
  6. Step 6: Final answer
    x = 1,271.54

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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.