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Finding the Fourth Proportional to 2,968.94, 4,450.32 and 1,213.18

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Solution

The fourth proportional to 2,968.94, 4,450.32 and 1,213.18 is: 1,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.94 : 4,450.32 = 1,213.18 : x
  2. Step 2: Convert to fraction form
    2,968.94/4,450.32 = 1,213.18/x
  3. Step 3: Cross multiply
    2,968.94x = 4,450.32 × 1,213.18
  4. Step 4: Simplify right side
    2,968.94x = 5,399,039.22
  5. Step 5: Solve for x
    x = 5,399,039.22/2,968.94
  6. Step 6: Final answer
    x = 1,818.51

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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.