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Finding the Fourth Proportional to 2,600.07, 3,896.73 and 1,981.50

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Solution

The fourth proportional to 2,600.07, 3,896.73 and 1,981.50 is: 2,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.07 : 3,896.73 = 1,981.50 : x
  2. Step 2: Convert to fraction form
    2,600.07/3,896.73 = 1,981.50/x
  3. Step 3: Cross multiply
    2,600.07x = 3,896.73 × 1,981.50
  4. Step 4: Simplify right side
    2,600.07x = 7,721,370.50
  5. Step 5: Solve for x
    x = 7,721,370.50/2,600.07
  6. Step 6: Final answer
    x = 2,969.68

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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.