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Finding the Fourth Proportional to 2,552.78, 3,829.92 and 821.36

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Solution

The fourth proportional to 2,552.78, 3,829.92 and 821.36 is: 1,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.78 : 3,829.92 = 821.36 : x
  2. Step 2: Convert to fraction form
    2,552.78/3,829.92 = 821.36/x
  3. Step 3: Cross multiply
    2,552.78x = 3,829.92 × 821.36
  4. Step 4: Simplify right side
    2,552.78x = 3,145,743.09
  5. Step 5: Solve for x
    x = 3,145,743.09/2,552.78
  6. Step 6: Final answer
    x = 1,232.28

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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.