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Finding the Fourth Proportional to 1,990.44, 2,984.46 and 1,168.32

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Solution

The fourth proportional to 1,990.44, 2,984.46 and 1,168.32 is: 1,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.44 : 2,984.46 = 1,168.32 : x
  2. Step 2: Convert to fraction form
    1,990.44/2,984.46 = 1,168.32/x
  3. Step 3: Cross multiply
    1,990.44x = 2,984.46 × 1,168.32
  4. Step 4: Simplify right side
    1,990.44x = 3,486,804.31
  5. Step 5: Solve for x
    x = 3,486,804.31/1,990.44
  6. Step 6: Final answer
    x = 1,751.78

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