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Finding the Fourth Proportional to 1,996.85, 2,755.46 and 1,112.63

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Solution

The fourth proportional to 1,996.85, 2,755.46 and 1,112.63 is: 1,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.85 : 2,755.46 = 1,112.63 : x
  2. Step 2: Convert to fraction form
    1,996.85/2,755.46 = 1,112.63/x
  3. Step 3: Cross multiply
    1,996.85x = 2,755.46 × 1,112.63
  4. Step 4: Simplify right side
    1,996.85x = 3,065,788.12
  5. Step 5: Solve for x
    x = 3,065,788.12/1,996.85
  6. Step 6: Final answer
    x = 1,535.32

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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.