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Finding the Fourth Proportional to 2,409.44, 3,324.96 and 1,361.44

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Solution

The fourth proportional to 2,409.44, 3,324.96 and 1,361.44 is: 1,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.44 : 3,324.96 = 1,361.44 : x
  2. Step 2: Convert to fraction form
    2,409.44/3,324.96 = 1,361.44/x
  3. Step 3: Cross multiply
    2,409.44x = 3,324.96 × 1,361.44
  4. Step 4: Simplify right side
    2,409.44x = 4,526,733.54
  5. Step 5: Solve for x
    x = 4,526,733.54/2,409.44
  6. Step 6: Final answer
    x = 1,878.75

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1.5x scale

Why These Related Problems?

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