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Finding the Fourth Proportional to 2,112.11, 3,168.62 and 651.23

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Solution

The fourth proportional to 2,112.11, 3,168.62 and 651.23 is: 976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.11 : 3,168.62 = 651.23 : x
  2. Step 2: Convert to fraction form
    2,112.11/3,168.62 = 651.23/x
  3. Step 3: Cross multiply
    2,112.11x = 3,168.62 × 651.23
  4. Step 4: Simplify right side
    2,112.11x = 2,063,500.40
  5. Step 5: Solve for x
    x = 2,063,500.40/2,112.11
  6. Step 6: Final answer
    x = 976.99

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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.