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Finding the Fourth Proportional to 2,286.54, 3,448.62 and 2,212.65

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Solution

The fourth proportional to 2,286.54, 3,448.62 and 2,212.65 is: 3,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.54 : 3,448.62 = 2,212.65 : x
  2. Step 2: Convert to fraction form
    2,286.54/3,448.62 = 2,212.65/x
  3. Step 3: Cross multiply
    2,286.54x = 3,448.62 × 2,212.65
  4. Step 4: Simplify right side
    2,286.54x = 7,630,589.04
  5. Step 5: Solve for x
    x = 7,630,589.04/2,286.54
  6. Step 6: Final answer
    x = 3,337.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.