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Finding the Fourth Proportional to 3,099.88, 4,651.89 and 1,640.08

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Solution

The fourth proportional to 3,099.88, 4,651.89 and 1,640.08 is: 2,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.88 : 4,651.89 = 1,640.08 : x
  2. Step 2: Convert to fraction form
    3,099.88/4,651.89 = 1,640.08/x
  3. Step 3: Cross multiply
    3,099.88x = 4,651.89 × 1,640.08
  4. Step 4: Simplify right side
    3,099.88x = 7,629,471.75
  5. Step 5: Solve for x
    x = 7,629,471.75/3,099.88
  6. Step 6: Final answer
    x = 2,461.22

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Why These Related Problems?

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