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Finding the Fourth Proportional to 2,131.26, 3,197.10 and 744.20

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Solution

The fourth proportional to 2,131.26, 3,197.10 and 744.20 is: 1,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.26 : 3,197.10 = 744.20 : x
  2. Step 2: Convert to fraction form
    2,131.26/3,197.10 = 744.20/x
  3. Step 3: Cross multiply
    2,131.26x = 3,197.10 × 744.20
  4. Step 4: Simplify right side
    2,131.26x = 2,379,281.82
  5. Step 5: Solve for x
    x = 2,379,281.82/2,131.26
  6. Step 6: Final answer
    x = 1,116.37

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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.