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Finding the Fourth Proportional to 2,272.94, 3,409.44 and 812.18

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Solution

The fourth proportional to 2,272.94, 3,409.44 and 812.18 is: 1,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.94 : 3,409.44 = 812.18 : x
  2. Step 2: Convert to fraction form
    2,272.94/3,409.44 = 812.18/x
  3. Step 3: Cross multiply
    2,272.94x = 3,409.44 × 812.18
  4. Step 4: Simplify right side
    2,272.94x = 2,769,078.98
  5. Step 5: Solve for x
    x = 2,769,078.98/2,272.94
  6. Step 6: Final answer
    x = 1,218.28

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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.