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Finding the Fourth Proportional to 2,112.23, 3,168.47 and 552.29

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Solution

The fourth proportional to 2,112.23, 3,168.47 and 552.29 is: 828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.23 : 3,168.47 = 552.29 : x
  2. Step 2: Convert to fraction form
    2,112.23/3,168.47 = 552.29/x
  3. Step 3: Cross multiply
    2,112.23x = 3,168.47 × 552.29
  4. Step 4: Simplify right side
    2,112.23x = 1,749,923.60
  5. Step 5: Solve for x
    x = 1,749,923.60/2,112.23
  6. Step 6: Final answer
    x = 828.47

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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.