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Finding the Fourth Proportional to 1,518.19, 2,273.97 and 823.39

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Solution

The fourth proportional to 1,518.19, 2,273.97 and 823.39 is: 1,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.19 : 2,273.97 = 823.39 : x
  2. Step 2: Convert to fraction form
    1,518.19/2,273.97 = 823.39/x
  3. Step 3: Cross multiply
    1,518.19x = 2,273.97 × 823.39
  4. Step 4: Simplify right side
    1,518.19x = 1,872,361.56
  5. Step 5: Solve for x
    x = 1,872,361.56/1,518.19
  6. Step 6: Final answer
    x = 1,233.29

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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.