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Finding the Fourth Proportional to 3,259.36, 4,891.38 and 1,616.68

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Solution

The fourth proportional to 3,259.36, 4,891.38 and 1,616.68 is: 2,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.36 : 4,891.38 = 1,616.68 : x
  2. Step 2: Convert to fraction form
    3,259.36/4,891.38 = 1,616.68/x
  3. Step 3: Cross multiply
    3,259.36x = 4,891.38 × 1,616.68
  4. Step 4: Simplify right side
    3,259.36x = 7,907,796.22
  5. Step 5: Solve for x
    x = 7,907,796.22/3,259.36
  6. Step 6: Final answer
    x = 2,426.18

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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.