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Finding the Fourth Proportional to 2,468.82, 3,405.09 and 2,317.62

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Solution

The fourth proportional to 2,468.82, 3,405.09 and 2,317.62 is: 3,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.82 : 3,405.09 = 2,317.62 : x
  2. Step 2: Convert to fraction form
    2,468.82/3,405.09 = 2,317.62/x
  3. Step 3: Cross multiply
    2,468.82x = 3,405.09 × 2,317.62
  4. Step 4: Simplify right side
    2,468.82x = 7,891,704.69
  5. Step 5: Solve for x
    x = 7,891,704.69/2,468.82
  6. Step 6: Final answer
    x = 3,196.55

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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.