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Finding the Fourth Proportional to 2,213.76, 3,054.80 and 1,218.96

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Solution

The fourth proportional to 2,213.76, 3,054.80 and 1,218.96 is: 1,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.76 : 3,054.80 = 1,218.96 : x
  2. Step 2: Convert to fraction form
    2,213.76/3,054.80 = 1,218.96/x
  3. Step 3: Cross multiply
    2,213.76x = 3,054.80 × 1,218.96
  4. Step 4: Simplify right side
    2,213.76x = 3,723,679.01
  5. Step 5: Solve for x
    x = 3,723,679.01/2,213.76
  6. Step 6: Final answer
    x = 1,682.06

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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.