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Finding the Fourth Proportional to 2,409.45, 3,324.88 and 1,361.31

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Solution

The fourth proportional to 2,409.45, 3,324.88 and 1,361.31 is: 1,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.45 : 3,324.88 = 1,361.31 : x
  2. Step 2: Convert to fraction form
    2,409.45/3,324.88 = 1,361.31/x
  3. Step 3: Cross multiply
    2,409.45x = 3,324.88 × 1,361.31
  4. Step 4: Simplify right side
    2,409.45x = 4,526,168.96
  5. Step 5: Solve for x
    x = 4,526,168.96/2,409.45
  6. Step 6: Final answer
    x = 1,878.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.