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Finding the Fourth Proportional to 2,231.40, 3,343.80 and 1,616.40

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Solution

The fourth proportional to 2,231.40, 3,343.80 and 1,616.40 is: 2,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.40 : 3,343.80 = 1,616.40 : x
  2. Step 2: Convert to fraction form
    2,231.40/3,343.80 = 1,616.40/x
  3. Step 3: Cross multiply
    2,231.40x = 3,343.80 × 1,616.40
  4. Step 4: Simplify right side
    2,231.40x = 5,404,918.32
  5. Step 5: Solve for x
    x = 5,404,918.32/2,231.40
  6. Step 6: Final answer
    x = 2,422.21

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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.