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Finding the Fourth Proportional to 2,546.67, 3,817.44 and 986.31

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Solution

The fourth proportional to 2,546.67, 3,817.44 and 986.31 is: 1,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.67 : 3,817.44 = 986.31 : x
  2. Step 2: Convert to fraction form
    2,546.67/3,817.44 = 986.31/x
  3. Step 3: Cross multiply
    2,546.67x = 3,817.44 × 986.31
  4. Step 4: Simplify right side
    2,546.67x = 3,765,179.25
  5. Step 5: Solve for x
    x = 3,765,179.25/2,546.67
  6. Step 6: Final answer
    x = 1,478.47

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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.