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Finding the Fourth Proportional to 2,968.44, 4,453.18 and 1,020.16

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Solution

The fourth proportional to 2,968.44, 4,453.18 and 1,020.16 is: 1,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.44 : 4,453.18 = 1,020.16 : x
  2. Step 2: Convert to fraction form
    2,968.44/4,453.18 = 1,020.16/x
  3. Step 3: Cross multiply
    2,968.44x = 4,453.18 × 1,020.16
  4. Step 4: Simplify right side
    2,968.44x = 4,542,956.11
  5. Step 5: Solve for x
    x = 4,542,956.11/2,968.44
  6. Step 6: Final answer
    x = 1,530.42

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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.