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Finding the Fourth Proportional to 3,211.44, 4,817.37 and 990

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Solution

The fourth proportional to 3,211.44, 4,817.37 and 990 is: 1,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.44 : 4,817.37 = 990 : x
  2. Step 2: Convert to fraction form
    3,211.44/4,817.37 = 990/x
  3. Step 3: Cross multiply
    3,211.44x = 4,817.37 × 990
  4. Step 4: Simplify right side
    3,211.44x = 4,769,196.30
  5. Step 5: Solve for x
    x = 4,769,196.30/3,211.44
  6. Step 6: Final answer
    x = 1,485.06

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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.