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Finding the Fourth Proportional to 2,741.78, 4,112.22 and 986.42

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Solution

The fourth proportional to 2,741.78, 4,112.22 and 986.42 is: 1,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.78 : 4,112.22 = 986.42 : x
  2. Step 2: Convert to fraction form
    2,741.78/4,112.22 = 986.42/x
  3. Step 3: Cross multiply
    2,741.78x = 4,112.22 × 986.42
  4. Step 4: Simplify right side
    2,741.78x = 4,056,376.05
  5. Step 5: Solve for x
    x = 4,056,376.05/2,741.78
  6. Step 6: Final answer
    x = 1,479.47

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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.