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Finding the Fourth Proportional to 2,968.30, 4,453.08 and 1,020.54

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Solution

The fourth proportional to 2,968.30, 4,453.08 and 1,020.54 is: 1,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.30 : 4,453.08 = 1,020.54 : x
  2. Step 2: Convert to fraction form
    2,968.30/4,453.08 = 1,020.54/x
  3. Step 3: Cross multiply
    2,968.30x = 4,453.08 × 1,020.54
  4. Step 4: Simplify right side
    2,968.30x = 4,544,546.26
  5. Step 5: Solve for x
    x = 4,544,546.26/2,968.30
  6. Step 6: Final answer
    x = 1,531.03

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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.