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Finding the Fourth Proportional to 2,409.82, 3,325.62 and 1,361.88

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Solution

The fourth proportional to 2,409.82, 3,325.62 and 1,361.88 is: 1,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.82 : 3,325.62 = 1,361.88 : x
  2. Step 2: Convert to fraction form
    2,409.82/3,325.62 = 1,361.88/x
  3. Step 3: Cross multiply
    2,409.82x = 3,325.62 × 1,361.88
  4. Step 4: Simplify right side
    2,409.82x = 4,529,095.37
  5. Step 5: Solve for x
    x = 4,529,095.37/2,409.82
  6. Step 6: Final answer
    x = 1,879.43

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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.