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Finding the Fourth Proportional to 2,600.35, 3,896.41 and 2,111.01

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Solution

The fourth proportional to 2,600.35, 3,896.41 and 2,111.01 is: 3,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.35 : 3,896.41 = 2,111.01 : x
  2. Step 2: Convert to fraction form
    2,600.35/3,896.41 = 2,111.01/x
  3. Step 3: Cross multiply
    2,600.35x = 3,896.41 × 2,111.01
  4. Step 4: Simplify right side
    2,600.35x = 8,225,340.99
  5. Step 5: Solve for x
    x = 8,225,340.99/2,600.35
  6. Step 6: Final answer
    x = 3,163.17

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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.