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Finding the Fourth Proportional to 2,272.21, 3,406.29 and 885.22

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Solution

The fourth proportional to 2,272.21, 3,406.29 and 885.22 is: 1,327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.21 : 3,406.29 = 885.22 : x
  2. Step 2: Convert to fraction form
    2,272.21/3,406.29 = 885.22/x
  3. Step 3: Cross multiply
    2,272.21x = 3,406.29 × 885.22
  4. Step 4: Simplify right side
    2,272.21x = 3,015,316.03
  5. Step 5: Solve for x
    x = 3,015,316.03/2,272.21
  6. Step 6: Final answer
    x = 1,327.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.