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Finding the Fourth Proportional to 2,112.07, 3,168.15 and 651.22

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Solution

The fourth proportional to 2,112.07, 3,168.15 and 651.22 is: 976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.07 : 3,168.15 = 651.22 : x
  2. Step 2: Convert to fraction form
    2,112.07/3,168.15 = 651.22/x
  3. Step 3: Cross multiply
    2,112.07x = 3,168.15 × 651.22
  4. Step 4: Simplify right side
    2,112.07x = 2,063,162.64
  5. Step 5: Solve for x
    x = 2,063,162.64/2,112.07
  6. Step 6: Final answer
    x = 976.84

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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.