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Finding the Fourth Proportional to 2,992.40, 4,112.16 and 2,855.19

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Solution

The fourth proportional to 2,992.40, 4,112.16 and 2,855.19 is: 3,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.40 : 4,112.16 = 2,855.19 : x
  2. Step 2: Convert to fraction form
    2,992.40/4,112.16 = 2,855.19/x
  3. Step 3: Cross multiply
    2,992.40x = 4,112.16 × 2,855.19
  4. Step 4: Simplify right side
    2,992.40x = 11,740,985.05
  5. Step 5: Solve for x
    x = 11,740,985.05/2,992.40
  6. Step 6: Final answer
    x = 3,923.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.