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Finding the Fourth Proportional to 2,884.94, 3,979.68 and 1,766.42

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Solution

The fourth proportional to 2,884.94, 3,979.68 and 1,766.42 is: 2,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.94 : 3,979.68 = 1,766.42 : x
  2. Step 2: Convert to fraction form
    2,884.94/3,979.68 = 1,766.42/x
  3. Step 3: Cross multiply
    2,884.94x = 3,979.68 × 1,766.42
  4. Step 4: Simplify right side
    2,884.94x = 7,029,786.35
  5. Step 5: Solve for x
    x = 7,029,786.35/2,884.94
  6. Step 6: Final answer
    x = 2,436.72

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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.