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Finding the Fourth Proportional to 2,462.94, 3,683.37 and 2,233.26

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Solution

The fourth proportional to 2,462.94, 3,683.37 and 2,233.26 is: 3,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.94 : 3,683.37 = 2,233.26 : x
  2. Step 2: Convert to fraction form
    2,462.94/3,683.37 = 2,233.26/x
  3. Step 3: Cross multiply
    2,462.94x = 3,683.37 × 2,233.26
  4. Step 4: Simplify right side
    2,462.94x = 8,225,922.89
  5. Step 5: Solve for x
    x = 8,225,922.89/2,462.94
  6. Step 6: Final answer
    x = 3,339.88

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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.