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Finding the Fourth Proportional to 2,979.74, 4,112.80 and 1,918.22

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Solution

The fourth proportional to 2,979.74, 4,112.80 and 1,918.22 is: 2,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.74 : 4,112.80 = 1,918.22 : x
  2. Step 2: Convert to fraction form
    2,979.74/4,112.80 = 1,918.22/x
  3. Step 3: Cross multiply
    2,979.74x = 4,112.80 × 1,918.22
  4. Step 4: Simplify right side
    2,979.74x = 7,889,255.22
  5. Step 5: Solve for x
    x = 7,889,255.22/2,979.74
  6. Step 6: Final answer
    x = 2,647.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.