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Finding the Fourth Proportional to 2,213.65, 3,054.92 and 1,218.97

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Solution

The fourth proportional to 2,213.65, 3,054.92 and 1,218.97 is: 1,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.65 : 3,054.92 = 1,218.97 : x
  2. Step 2: Convert to fraction form
    2,213.65/3,054.92 = 1,218.97/x
  3. Step 3: Cross multiply
    2,213.65x = 3,054.92 × 1,218.97
  4. Step 4: Simplify right side
    2,213.65x = 3,723,855.83
  5. Step 5: Solve for x
    x = 3,723,855.83/2,213.65
  6. Step 6: Final answer
    x = 1,682.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.