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Finding the Fourth Proportional to 3,422.98, 5,131.23 and 1,344.32

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Solution

The fourth proportional to 3,422.98, 5,131.23 and 1,344.32 is: 2,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.98 : 5,131.23 = 1,344.32 : x
  2. Step 2: Convert to fraction form
    3,422.98/5,131.23 = 1,344.32/x
  3. Step 3: Cross multiply
    3,422.98x = 5,131.23 × 1,344.32
  4. Step 4: Simplify right side
    3,422.98x = 6,898,015.11
  5. Step 5: Solve for x
    x = 6,898,015.11/3,422.98
  6. Step 6: Final answer
    x = 2,015.21

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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.