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Finding the Fourth Proportional to 2,224.21, 3,069.80 and 1,327.98

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Solution

The fourth proportional to 2,224.21, 3,069.80 and 1,327.98 is: 1,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.21 : 3,069.80 = 1,327.98 : x
  2. Step 2: Convert to fraction form
    2,224.21/3,069.80 = 1,327.98/x
  3. Step 3: Cross multiply
    2,224.21x = 3,069.80 × 1,327.98
  4. Step 4: Simplify right side
    2,224.21x = 4,076,633.00
  5. Step 5: Solve for x
    x = 4,076,633.00/2,224.21
  6. Step 6: Final answer
    x = 1,832.85

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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.