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Finding the Fourth Proportional to 2,662.08, 3,993.48 and 930.84

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Solution

The fourth proportional to 2,662.08, 3,993.48 and 930.84 is: 1,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.08 : 3,993.48 = 930.84 : x
  2. Step 2: Convert to fraction form
    2,662.08/3,993.48 = 930.84/x
  3. Step 3: Cross multiply
    2,662.08x = 3,993.48 × 930.84
  4. Step 4: Simplify right side
    2,662.08x = 3,717,290.92
  5. Step 5: Solve for x
    x = 3,717,290.92/2,662.08
  6. Step 6: Final answer
    x = 1,396.39

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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.