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Finding the Fourth Proportional to 2,081.06, 3,120.41 and 693.65

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Solution

The fourth proportional to 2,081.06, 3,120.41 and 693.65 is: 1,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.06 : 3,120.41 = 693.65 : x
  2. Step 2: Convert to fraction form
    2,081.06/3,120.41 = 693.65/x
  3. Step 3: Cross multiply
    2,081.06x = 3,120.41 × 693.65
  4. Step 4: Simplify right side
    2,081.06x = 2,164,453.33
  5. Step 5: Solve for x
    x = 2,164,453.33/2,081.06
  6. Step 6: Final answer
    x = 1,040.08

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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.