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Finding the Fourth Proportional to 2,071.73, 3,105.74 and 755.23

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Solution

The fourth proportional to 2,071.73, 3,105.74 and 755.23 is: 1,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.73 : 3,105.74 = 755.23 : x
  2. Step 2: Convert to fraction form
    2,071.73/3,105.74 = 755.23/x
  3. Step 3: Cross multiply
    2,071.73x = 3,105.74 × 755.23
  4. Step 4: Simplify right side
    2,071.73x = 2,345,542.14
  5. Step 5: Solve for x
    x = 2,345,542.14/2,071.73
  6. Step 6: Final answer
    x = 1,132.17

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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.