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Finding the Fourth Proportional to 2,441.44, 3,361.92 and 2,172

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Solution

The fourth proportional to 2,441.44, 3,361.92 and 2,172 is: 2,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.44 : 3,361.92 = 2,172 : x
  2. Step 2: Convert to fraction form
    2,441.44/3,361.92 = 2,172/x
  3. Step 3: Cross multiply
    2,441.44x = 3,361.92 × 2,172
  4. Step 4: Simplify right side
    2,441.44x = 7,302,090.24
  5. Step 5: Solve for x
    x = 7,302,090.24/2,441.44
  6. Step 6: Final answer
    x = 2,990.89

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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.