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Finding the Fourth Proportional to 2,756.78, 4,135.44 and 1,523.96

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Solution

The fourth proportional to 2,756.78, 4,135.44 and 1,523.96 is: 2,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.78 : 4,135.44 = 1,523.96 : x
  2. Step 2: Convert to fraction form
    2,756.78/4,135.44 = 1,523.96/x
  3. Step 3: Cross multiply
    2,756.78x = 4,135.44 × 1,523.96
  4. Step 4: Simplify right side
    2,756.78x = 6,302,245.14
  5. Step 5: Solve for x
    x = 6,302,245.14/2,756.78
  6. Step 6: Final answer
    x = 2,286.09

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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.