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Finding the Fourth Proportional to 2,131.48, 3,196.31 and 744.40

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Solution

The fourth proportional to 2,131.48, 3,196.31 and 744.40 is: 1,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.48 : 3,196.31 = 744.40 : x
  2. Step 2: Convert to fraction form
    2,131.48/3,196.31 = 744.40/x
  3. Step 3: Cross multiply
    2,131.48x = 3,196.31 × 744.40
  4. Step 4: Simplify right side
    2,131.48x = 2,379,329.44
  5. Step 5: Solve for x
    x = 2,379,329.44/2,131.48
  6. Step 6: Final answer
    x = 1,116.28

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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.