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Finding the Fourth Proportional to 3,382.96, 4,668.68 and 1,986.64

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Solution

The fourth proportional to 3,382.96, 4,668.68 and 1,986.64 is: 2,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.96 : 4,668.68 = 1,986.64 : x
  2. Step 2: Convert to fraction form
    3,382.96/4,668.68 = 1,986.64/x
  3. Step 3: Cross multiply
    3,382.96x = 4,668.68 × 1,986.64
  4. Step 4: Simplify right side
    3,382.96x = 9,274,986.44
  5. Step 5: Solve for x
    x = 9,274,986.44/3,382.96
  6. Step 6: Final answer
    x = 2,741.68

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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.