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Finding the Fourth Proportional to 2,667.24, 3,996.54 and 2,019.24

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Solution

The fourth proportional to 2,667.24, 3,996.54 and 2,019.24 is: 3,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.24 : 3,996.54 = 2,019.24 : x
  2. Step 2: Convert to fraction form
    2,667.24/3,996.54 = 2,019.24/x
  3. Step 3: Cross multiply
    2,667.24x = 3,996.54 × 2,019.24
  4. Step 4: Simplify right side
    2,667.24x = 8,069,973.43
  5. Step 5: Solve for x
    x = 8,069,973.43/2,667.24
  6. Step 6: Final answer
    x = 3,025.59

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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.