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Finding the Fourth Proportional to 2,462.67, 3,388.77 and 2,449.17

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Solution

The fourth proportional to 2,462.67, 3,388.77 and 2,449.17 is: 3,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.67 : 3,388.77 = 2,449.17 : x
  2. Step 2: Convert to fraction form
    2,462.67/3,388.77 = 2,449.17/x
  3. Step 3: Cross multiply
    2,462.67x = 3,388.77 × 2,449.17
  4. Step 4: Simplify right side
    2,462.67x = 8,299,673.82
  5. Step 5: Solve for x
    x = 8,299,673.82/2,462.67
  6. Step 6: Final answer
    x = 3,370.19

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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.