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Finding the Fourth Proportional to 2,527.97, 3,786.48 and 1,649.52

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Solution

The fourth proportional to 2,527.97, 3,786.48 and 1,649.52 is: 2,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.97 : 3,786.48 = 1,649.52 : x
  2. Step 2: Convert to fraction form
    2,527.97/3,786.48 = 1,649.52/x
  3. Step 3: Cross multiply
    2,527.97x = 3,786.48 × 1,649.52
  4. Step 4: Simplify right side
    2,527.97x = 6,245,874.49
  5. Step 5: Solve for x
    x = 6,245,874.49/2,527.97
  6. Step 6: Final answer
    x = 2,470.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.