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Finding the Fourth Proportional to 2,662.06, 3,674.07 and 1,918.48

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Solution

The fourth proportional to 2,662.06, 3,674.07 and 1,918.48 is: 2,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.06 : 3,674.07 = 1,918.48 : x
  2. Step 2: Convert to fraction form
    2,662.06/3,674.07 = 1,918.48/x
  3. Step 3: Cross multiply
    2,662.06x = 3,674.07 × 1,918.48
  4. Step 4: Simplify right side
    2,662.06x = 7,048,629.81
  5. Step 5: Solve for x
    x = 7,048,629.81/2,662.06
  6. Step 6: Final answer
    x = 2,647.81

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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.