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Finding the Fourth Proportional to 2,855.24, 3,940.04 and 1,596.20

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Solution

The fourth proportional to 2,855.24, 3,940.04 and 1,596.20 is: 2,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.24 : 3,940.04 = 1,596.20 : x
  2. Step 2: Convert to fraction form
    2,855.24/3,940.04 = 1,596.20/x
  3. Step 3: Cross multiply
    2,855.24x = 3,940.04 × 1,596.20
  4. Step 4: Simplify right side
    2,855.24x = 6,289,064.17
  5. Step 5: Solve for x
    x = 6,289,064.17/2,855.24
  6. Step 6: Final answer
    x = 2,202.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.