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Finding the Fourth Proportional to 2,287.06, 3,408.10 and 2,212.65

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Solution

The fourth proportional to 2,287.06, 3,408.10 and 2,212.65 is: 3,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.06 : 3,408.10 = 2,212.65 : x
  2. Step 2: Convert to fraction form
    2,287.06/3,408.10 = 2,212.65/x
  3. Step 3: Cross multiply
    2,287.06x = 3,408.10 × 2,212.65
  4. Step 4: Simplify right side
    2,287.06x = 7,540,926.93
  5. Step 5: Solve for x
    x = 7,540,926.93/2,287.06
  6. Step 6: Final answer
    x = 3,297.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.