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Finding the Fourth Proportional to 2,462.68, 3,396.76 and 1,467.19

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Solution

The fourth proportional to 2,462.68, 3,396.76 and 1,467.19 is: 2,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.68 : 3,396.76 = 1,467.19 : x
  2. Step 2: Convert to fraction form
    2,462.68/3,396.76 = 1,467.19/x
  3. Step 3: Cross multiply
    2,462.68x = 3,396.76 × 1,467.19
  4. Step 4: Simplify right side
    2,462.68x = 4,983,684.97
  5. Step 5: Solve for x
    x = 4,983,684.97/2,462.68
  6. Step 6: Final answer
    x = 2,023.68

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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.