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Finding the Fourth Proportional to 1,942.44, 2,674.01 and 1,755.36

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Solution

The fourth proportional to 1,942.44, 2,674.01 and 1,755.36 is: 2,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.44 : 2,674.01 = 1,755.36 : x
  2. Step 2: Convert to fraction form
    1,942.44/2,674.01 = 1,755.36/x
  3. Step 3: Cross multiply
    1,942.44x = 2,674.01 × 1,755.36
  4. Step 4: Simplify right side
    1,942.44x = 4,693,850.19
  5. Step 5: Solve for x
    x = 4,693,850.19/1,942.44
  6. Step 6: Final answer
    x = 2,416.47

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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.