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Finding the Fourth Proportional to 2,616.47, 3,924.69 and 1,643.25

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Solution

The fourth proportional to 2,616.47, 3,924.69 and 1,643.25 is: 2,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.47 : 3,924.69 = 1,643.25 : x
  2. Step 2: Convert to fraction form
    2,616.47/3,924.69 = 1,643.25/x
  3. Step 3: Cross multiply
    2,616.47x = 3,924.69 × 1,643.25
  4. Step 4: Simplify right side
    2,616.47x = 6,449,246.84
  5. Step 5: Solve for x
    x = 6,449,246.84/2,616.47
  6. Step 6: Final answer
    x = 2,464.87

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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.