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Finding the Fourth Proportional to 2,784.87, 3,813.75 and 2,748.42

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Solution

The fourth proportional to 2,784.87, 3,813.75 and 2,748.42 is: 3,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.87 : 3,813.75 = 2,748.42 : x
  2. Step 2: Convert to fraction form
    2,784.87/3,813.75 = 2,748.42/x
  3. Step 3: Cross multiply
    2,784.87x = 3,813.75 × 2,748.42
  4. Step 4: Simplify right side
    2,784.87x = 10,481,786.78
  5. Step 5: Solve for x
    x = 10,481,786.78/2,784.87
  6. Step 6: Final answer
    x = 3,763.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.