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Finding the Fourth Proportional to 2,447.12, 3,668.24 and 985.84

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Solution

The fourth proportional to 2,447.12, 3,668.24 and 985.84 is: 1,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.12 : 3,668.24 = 985.84 : x
  2. Step 2: Convert to fraction form
    2,447.12/3,668.24 = 985.84/x
  3. Step 3: Cross multiply
    2,447.12x = 3,668.24 × 985.84
  4. Step 4: Simplify right side
    2,447.12x = 3,616,297.72
  5. Step 5: Solve for x
    x = 3,616,297.72/2,447.12
  6. Step 6: Final answer
    x = 1,477.78

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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.