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Finding the Fourth Proportional to 2,178.44, 3,268.20 and 639.44

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Solution

The fourth proportional to 2,178.44, 3,268.20 and 639.44 is: 959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.44 : 3,268.20 = 639.44 : x
  2. Step 2: Convert to fraction form
    2,178.44/3,268.20 = 639.44/x
  3. Step 3: Cross multiply
    2,178.44x = 3,268.20 × 639.44
  4. Step 4: Simplify right side
    2,178.44x = 2,089,817.81
  5. Step 5: Solve for x
    x = 2,089,817.81/2,178.44
  6. Step 6: Final answer
    x = 959.32

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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.