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Finding the Fourth Proportional to 2,012.49, 3,019.34 and 1,664.25

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Solution

The fourth proportional to 2,012.49, 3,019.34 and 1,664.25 is: 2,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.49 : 3,019.34 = 1,664.25 : x
  2. Step 2: Convert to fraction form
    2,012.49/3,019.34 = 1,664.25/x
  3. Step 3: Cross multiply
    2,012.49x = 3,019.34 × 1,664.25
  4. Step 4: Simplify right side
    2,012.49x = 5,024,936.60
  5. Step 5: Solve for x
    x = 5,024,936.60/2,012.49
  6. Step 6: Final answer
    x = 2,496.88

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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.