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Finding the Fourth Proportional to 2,600.36, 3,899.32 and 2,105.55

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Solution

The fourth proportional to 2,600.36, 3,899.32 and 2,105.55 is: 3,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.36 : 3,899.32 = 2,105.55 : x
  2. Step 2: Convert to fraction form
    2,600.36/3,899.32 = 2,105.55/x
  3. Step 3: Cross multiply
    2,600.36x = 3,899.32 × 2,105.55
  4. Step 4: Simplify right side
    2,600.36x = 8,210,213.23
  5. Step 5: Solve for x
    x = 8,210,213.23/2,600.36
  6. Step 6: Final answer
    x = 3,157.34

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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.