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Finding the Fourth Proportional to 2,094.85, 3,142.31 and 862.27

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Solution

The fourth proportional to 2,094.85, 3,142.31 and 862.27 is: 1,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.85 : 3,142.31 = 862.27 : x
  2. Step 2: Convert to fraction form
    2,094.85/3,142.31 = 862.27/x
  3. Step 3: Cross multiply
    2,094.85x = 3,142.31 × 862.27
  4. Step 4: Simplify right side
    2,094.85x = 2,709,519.64
  5. Step 5: Solve for x
    x = 2,709,519.64/2,094.85
  6. Step 6: Final answer
    x = 1,293.42

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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.