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Finding the Fourth Proportional to 2,747.99, 3,791.84 and 1,552.77

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Solution

The fourth proportional to 2,747.99, 3,791.84 and 1,552.77 is: 2,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.99 : 3,791.84 = 1,552.77 : x
  2. Step 2: Convert to fraction form
    2,747.99/3,791.84 = 1,552.77/x
  3. Step 3: Cross multiply
    2,747.99x = 3,791.84 × 1,552.77
  4. Step 4: Simplify right side
    2,747.99x = 5,887,847.63
  5. Step 5: Solve for x
    x = 5,887,847.63/2,747.99
  6. Step 6: Final answer
    x = 2,142.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.