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Finding the Fourth Proportional to 2,522.96, 3,784.48 and 1,286.88

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Solution

The fourth proportional to 2,522.96, 3,784.48 and 1,286.88 is: 1,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.96 : 3,784.48 = 1,286.88 : x
  2. Step 2: Convert to fraction form
    2,522.96/3,784.48 = 1,286.88/x
  3. Step 3: Cross multiply
    2,522.96x = 3,784.48 × 1,286.88
  4. Step 4: Simplify right side
    2,522.96x = 4,870,171.62
  5. Step 5: Solve for x
    x = 4,870,171.62/2,522.96
  6. Step 6: Final answer
    x = 1,930.34

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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.