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Finding the Fourth Proportional to 2,855.23, 3,940.19 and 1,596.34

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Solution

The fourth proportional to 2,855.23, 3,940.19 and 1,596.34 is: 2,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.23 : 3,940.19 = 1,596.34 : x
  2. Step 2: Convert to fraction form
    2,855.23/3,940.19 = 1,596.34/x
  3. Step 3: Cross multiply
    2,855.23x = 3,940.19 × 1,596.34
  4. Step 4: Simplify right side
    2,855.23x = 6,289,882.90
  5. Step 5: Solve for x
    x = 6,289,882.90/2,855.23
  6. Step 6: Final answer
    x = 2,202.93

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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.