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Finding the Fourth Proportional to 2,462.54, 3,399.26 and 1,467.63

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Solution

The fourth proportional to 2,462.54, 3,399.26 and 1,467.63 is: 2,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.54 : 3,399.26 = 1,467.63 : x
  2. Step 2: Convert to fraction form
    2,462.54/3,399.26 = 1,467.63/x
  3. Step 3: Cross multiply
    2,462.54x = 3,399.26 × 1,467.63
  4. Step 4: Simplify right side
    2,462.54x = 4,988,848.62
  5. Step 5: Solve for x
    x = 4,988,848.62/2,462.54
  6. Step 6: Final answer
    x = 2,025.90

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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.