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Finding the Fourth Proportional to 3,361.41, 5,042.24 and 1,606.62

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Solution

The fourth proportional to 3,361.41, 5,042.24 and 1,606.62 is: 2,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.41 : 5,042.24 = 1,606.62 : x
  2. Step 2: Convert to fraction form
    3,361.41/5,042.24 = 1,606.62/x
  3. Step 3: Cross multiply
    3,361.41x = 5,042.24 × 1,606.62
  4. Step 4: Simplify right side
    3,361.41x = 8,100,955.60
  5. Step 5: Solve for x
    x = 8,100,955.60/3,361.41
  6. Step 6: Final answer
    x = 2,409.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.