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Finding the Fourth Proportional to 2,540.94, 3,817.80 and 1,616.91

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Solution

The fourth proportional to 2,540.94, 3,817.80 and 1,616.91 is: 2,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.94 : 3,817.80 = 1,616.91 : x
  2. Step 2: Convert to fraction form
    2,540.94/3,817.80 = 1,616.91/x
  3. Step 3: Cross multiply
    2,540.94x = 3,817.80 × 1,616.91
  4. Step 4: Simplify right side
    2,540.94x = 6,173,039.00
  5. Step 5: Solve for x
    x = 6,173,039.00/2,540.94
  6. Step 6: Final answer
    x = 2,429.43

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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.