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Finding the Fourth Proportional to 2,272.68, 3,410.94 and 905.64

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Solution

The fourth proportional to 2,272.68, 3,410.94 and 905.64 is: 1,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.68 : 3,410.94 = 905.64 : x
  2. Step 2: Convert to fraction form
    2,272.68/3,410.94 = 905.64/x
  3. Step 3: Cross multiply
    2,272.68x = 3,410.94 × 905.64
  4. Step 4: Simplify right side
    2,272.68x = 3,089,083.70
  5. Step 5: Solve for x
    x = 3,089,083.70/2,272.68
  6. Step 6: Final answer
    x = 1,359.23

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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.