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Finding the Fourth Proportional to 2,081.79, 3,121.91 and 848.54

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Solution

The fourth proportional to 2,081.79, 3,121.91 and 848.54 is: 1,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.79 : 3,121.91 = 848.54 : x
  2. Step 2: Convert to fraction form
    2,081.79/3,121.91 = 848.54/x
  3. Step 3: Cross multiply
    2,081.79x = 3,121.91 × 848.54
  4. Step 4: Simplify right side
    2,081.79x = 2,649,045.66
  5. Step 5: Solve for x
    x = 2,649,045.66/2,081.79
  6. Step 6: Final answer
    x = 1,272.48

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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.