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Finding the Fourth Proportional to 2,132.63, 3,198.26 and 745.71

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Solution

The fourth proportional to 2,132.63, 3,198.26 and 745.71 is: 1,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.63 : 3,198.26 = 745.71 : x
  2. Step 2: Convert to fraction form
    2,132.63/3,198.26 = 745.71/x
  3. Step 3: Cross multiply
    2,132.63x = 3,198.26 × 745.71
  4. Step 4: Simplify right side
    2,132.63x = 2,384,962.24
  5. Step 5: Solve for x
    x = 2,384,962.24/2,132.63
  6. Step 6: Final answer
    x = 1,118.32

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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.