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Finding the Fourth Proportional to 2,442.52, 3,662.16 and 798.49

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Solution

The fourth proportional to 2,442.52, 3,662.16 and 798.49 is: 1,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.52 : 3,662.16 = 798.49 : x
  2. Step 2: Convert to fraction form
    2,442.52/3,662.16 = 798.49/x
  3. Step 3: Cross multiply
    2,442.52x = 3,662.16 × 798.49
  4. Step 4: Simplify right side
    2,442.52x = 2,924,198.14
  5. Step 5: Solve for x
    x = 2,924,198.14/2,442.52
  6. Step 6: Final answer
    x = 1,197.21

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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.