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Finding the Fourth Proportional to 2,552.70, 3,829.09 and 797.75

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Solution

The fourth proportional to 2,552.70, 3,829.09 and 797.75 is: 1,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.70 : 3,829.09 = 797.75 : x
  2. Step 2: Convert to fraction form
    2,552.70/3,829.09 = 797.75/x
  3. Step 3: Cross multiply
    2,552.70x = 3,829.09 × 797.75
  4. Step 4: Simplify right side
    2,552.70x = 3,054,633.41
  5. Step 5: Solve for x
    x = 3,054,633.41/2,552.70
  6. Step 6: Final answer
    x = 1,196.63

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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.