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Finding the Fourth Proportional to 2,131.86, 3,198.56 and 745.40

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Solution

The fourth proportional to 2,131.86, 3,198.56 and 745.40 is: 1,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.86 : 3,198.56 = 745.40 : x
  2. Step 2: Convert to fraction form
    2,131.86/3,198.56 = 745.40/x
  3. Step 3: Cross multiply
    2,131.86x = 3,198.56 × 745.40
  4. Step 4: Simplify right side
    2,131.86x = 2,384,206.62
  5. Step 5: Solve for x
    x = 2,384,206.62/2,131.86
  6. Step 6: Final answer
    x = 1,118.37

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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.