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Finding the Fourth Proportional to 2,552.76, 3,828.34 and 821

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Solution

The fourth proportional to 2,552.76, 3,828.34 and 821 is: 1,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.76 : 3,828.34 = 821 : x
  2. Step 2: Convert to fraction form
    2,552.76/3,828.34 = 821/x
  3. Step 3: Cross multiply
    2,552.76x = 3,828.34 × 821
  4. Step 4: Simplify right side
    2,552.76x = 3,143,067.14
  5. Step 5: Solve for x
    x = 3,143,067.14/2,552.76
  6. Step 6: Final answer
    x = 1,231.24

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Double scale
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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.