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Finding the Fourth Proportional to 2,311.44, 3,467.16 and 849.57

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Solution

The fourth proportional to 2,311.44, 3,467.16 and 849.57 is: 1,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.44 : 3,467.16 = 849.57 : x
  2. Step 2: Convert to fraction form
    2,311.44/3,467.16 = 849.57/x
  3. Step 3: Cross multiply
    2,311.44x = 3,467.16 × 849.57
  4. Step 4: Simplify right side
    2,311.44x = 2,945,595.12
  5. Step 5: Solve for x
    x = 2,945,595.12/2,311.44
  6. Step 6: Final answer
    x = 1,274.36

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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.