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Finding the Fourth Proportional to 2,467.53, 3,400.92 and 2,150.82

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Solution

The fourth proportional to 2,467.53, 3,400.92 and 2,150.82 is: 2,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.53 : 3,400.92 = 2,150.82 : x
  2. Step 2: Convert to fraction form
    2,467.53/3,400.92 = 2,150.82/x
  3. Step 3: Cross multiply
    2,467.53x = 3,400.92 × 2,150.82
  4. Step 4: Simplify right side
    2,467.53x = 7,314,766.75
  5. Step 5: Solve for x
    x = 7,314,766.75/2,467.53
  6. Step 6: Final answer
    x = 2,964.41

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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.