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Finding the Fourth Proportional to 2,131.16, 3,196.52 and 744.26

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Solution

The fourth proportional to 2,131.16, 3,196.52 and 744.26 is: 1,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.16 : 3,196.52 = 744.26 : x
  2. Step 2: Convert to fraction form
    2,131.16/3,196.52 = 744.26/x
  3. Step 3: Cross multiply
    2,131.16x = 3,196.52 × 744.26
  4. Step 4: Simplify right side
    2,131.16x = 2,379,041.98
  5. Step 5: Solve for x
    x = 2,379,041.98/2,131.16
  6. Step 6: Final answer
    x = 1,116.31

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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.