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Finding the Fourth Proportional to 2,081.01, 3,121.52 and 848.15

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Solution

The fourth proportional to 2,081.01, 3,121.52 and 848.15 is: 1,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.01 : 3,121.52 = 848.15 : x
  2. Step 2: Convert to fraction form
    2,081.01/3,121.52 = 848.15/x
  3. Step 3: Cross multiply
    2,081.01x = 3,121.52 × 848.15
  4. Step 4: Simplify right side
    2,081.01x = 2,647,497.34
  5. Step 5: Solve for x
    x = 2,647,497.34/2,081.01
  6. Step 6: Final answer
    x = 1,272.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.