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Finding the Fourth Proportional to 2,616.53, 3,924.79 and 1,643.31

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Solution

The fourth proportional to 2,616.53, 3,924.79 and 1,643.31 is: 2,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.53 : 3,924.79 = 1,643.31 : x
  2. Step 2: Convert to fraction form
    2,616.53/3,924.79 = 1,643.31/x
  3. Step 3: Cross multiply
    2,616.53x = 3,924.79 × 1,643.31
  4. Step 4: Simplify right side
    2,616.53x = 6,449,642.55
  5. Step 5: Solve for x
    x = 6,449,642.55/2,616.53
  6. Step 6: Final answer
    x = 2,464.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.