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Finding the Fourth Proportional to 2,367.88, 3,552.54 and 828.52

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Solution

The fourth proportional to 2,367.88, 3,552.54 and 828.52 is: 1,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.88 : 3,552.54 = 828.52 : x
  2. Step 2: Convert to fraction form
    2,367.88/3,552.54 = 828.52/x
  3. Step 3: Cross multiply
    2,367.88x = 3,552.54 × 828.52
  4. Step 4: Simplify right side
    2,367.88x = 2,943,350.44
  5. Step 5: Solve for x
    x = 2,943,350.44/2,367.88
  6. Step 6: Final answer
    x = 1,243.03

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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.