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Finding the Fourth Proportional to 2,272.75, 3,409.20 and 629.31

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Solution

The fourth proportional to 2,272.75, 3,409.20 and 629.31 is: 943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.75 : 3,409.20 = 629.31 : x
  2. Step 2: Convert to fraction form
    2,272.75/3,409.20 = 629.31/x
  3. Step 3: Cross multiply
    2,272.75x = 3,409.20 × 629.31
  4. Step 4: Simplify right side
    2,272.75x = 2,145,440.51
  5. Step 5: Solve for x
    x = 2,145,440.51/2,272.75
  6. Step 6: Final answer
    x = 943.99

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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.