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Finding the Fourth Proportional to 2,081.86, 3,121.74 and 694.71

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Solution

The fourth proportional to 2,081.86, 3,121.74 and 694.71 is: 1,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.86 : 3,121.74 = 694.71 : x
  2. Step 2: Convert to fraction form
    2,081.86/3,121.74 = 694.71/x
  3. Step 3: Cross multiply
    2,081.86x = 3,121.74 × 694.71
  4. Step 4: Simplify right side
    2,081.86x = 2,168,704.00
  5. Step 5: Solve for x
    x = 2,168,704.00/2,081.86
  6. Step 6: Final answer
    x = 1,041.71

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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.