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Finding the Fourth Proportional to 2,514.87, 3,772.77 and 849.27

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Solution

The fourth proportional to 2,514.87, 3,772.77 and 849.27 is: 1,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.87 : 3,772.77 = 849.27 : x
  2. Step 2: Convert to fraction form
    2,514.87/3,772.77 = 849.27/x
  3. Step 3: Cross multiply
    2,514.87x = 3,772.77 × 849.27
  4. Step 4: Simplify right side
    2,514.87x = 3,204,100.38
  5. Step 5: Solve for x
    x = 3,204,100.38/2,514.87
  6. Step 6: Final answer
    x = 1,274.06

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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.