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Finding the Fourth Proportional to 1,618.56, 2,427.96 and 523.44

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Solution

The fourth proportional to 1,618.56, 2,427.96 and 523.44 is: 785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.56 : 2,427.96 = 523.44 : x
  2. Step 2: Convert to fraction form
    1,618.56/2,427.96 = 523.44/x
  3. Step 3: Cross multiply
    1,618.56x = 2,427.96 × 523.44
  4. Step 4: Simplify right side
    1,618.56x = 1,270,891.38
  5. Step 5: Solve for x
    x = 1,270,891.38/1,618.56
  6. Step 6: Final answer
    x = 785.20

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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.