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Finding the Fourth Proportional to 1,611.10, 2,222.53 and 1,021.22

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Solution

The fourth proportional to 1,611.10, 2,222.53 and 1,021.22 is: 1,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.10 : 2,222.53 = 1,021.22 : x
  2. Step 2: Convert to fraction form
    1,611.10/2,222.53 = 1,021.22/x
  3. Step 3: Cross multiply
    1,611.10x = 2,222.53 × 1,021.22
  4. Step 4: Simplify right side
    1,611.10x = 2,269,692.09
  5. Step 5: Solve for x
    x = 2,269,692.09/1,611.10
  6. Step 6: Final answer
    x = 1,408.78

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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.