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Finding the Fourth Proportional to 2,600.86, 3,901.97 and 752.12

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Solution

The fourth proportional to 2,600.86, 3,901.97 and 752.12 is: 1,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.86 : 3,901.97 = 752.12 : x
  2. Step 2: Convert to fraction form
    2,600.86/3,901.97 = 752.12/x
  3. Step 3: Cross multiply
    2,600.86x = 3,901.97 × 752.12
  4. Step 4: Simplify right side
    2,600.86x = 2,934,749.68
  5. Step 5: Solve for x
    x = 2,934,749.68/2,600.86
  6. Step 6: Final answer
    x = 1,128.38

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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.