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Finding the Fourth Proportional to 2,968.20, 4,453.02 and 1,020.42

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Solution

The fourth proportional to 2,968.20, 4,453.02 and 1,020.42 is: 1,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.20 : 4,453.02 = 1,020.42 : x
  2. Step 2: Convert to fraction form
    2,968.20/4,453.02 = 1,020.42/x
  3. Step 3: Cross multiply
    2,968.20x = 4,453.02 × 1,020.42
  4. Step 4: Simplify right side
    2,968.20x = 4,543,950.67
  5. Step 5: Solve for x
    x = 4,543,950.67/2,968.20
  6. Step 6: Final answer
    x = 1,530.88

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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.