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Finding the Fourth Proportional to 2,213.81, 3,054.99 and 1,219.08

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Solution

The fourth proportional to 2,213.81, 3,054.99 and 1,219.08 is: 1,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.81 : 3,054.99 = 1,219.08 : x
  2. Step 2: Convert to fraction form
    2,213.81/3,054.99 = 1,219.08/x
  3. Step 3: Cross multiply
    2,213.81x = 3,054.99 × 1,219.08
  4. Step 4: Simplify right side
    2,213.81x = 3,724,277.21
  5. Step 5: Solve for x
    x = 3,724,277.21/2,213.81
  6. Step 6: Final answer
    x = 1,682.29

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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.