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Finding the Fourth Proportional to 2,589.66, 3,887.22 and 1,616.44

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Solution

The fourth proportional to 2,589.66, 3,887.22 and 1,616.44 is: 2,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.66 : 3,887.22 = 1,616.44 : x
  2. Step 2: Convert to fraction form
    2,589.66/3,887.22 = 1,616.44/x
  3. Step 3: Cross multiply
    2,589.66x = 3,887.22 × 1,616.44
  4. Step 4: Simplify right side
    2,589.66x = 6,283,457.90
  5. Step 5: Solve for x
    x = 6,283,457.90/2,589.66
  6. Step 6: Final answer
    x = 2,426.36

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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.