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Finding the Fourth Proportional to 2,462.44, 3,682.62 and 2,232.76

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Solution

The fourth proportional to 2,462.44, 3,682.62 and 2,232.76 is: 3,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.44 : 3,682.62 = 2,232.76 : x
  2. Step 2: Convert to fraction form
    2,462.44/3,682.62 = 2,232.76/x
  3. Step 3: Cross multiply
    2,462.44x = 3,682.62 × 2,232.76
  4. Step 4: Simplify right side
    2,462.44x = 8,222,406.63
  5. Step 5: Solve for x
    x = 8,222,406.63/2,462.44
  6. Step 6: Final answer
    x = 3,339.13

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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.