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Finding the Fourth Proportional to 2,442.29, 3,662.65 and 798.39

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Solution

The fourth proportional to 2,442.29, 3,662.65 and 798.39 is: 1,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.29 : 3,662.65 = 798.39 : x
  2. Step 2: Convert to fraction form
    2,442.29/3,662.65 = 798.39/x
  3. Step 3: Cross multiply
    2,442.29x = 3,662.65 × 798.39
  4. Step 4: Simplify right side
    2,442.29x = 2,924,224.13
  5. Step 5: Solve for x
    x = 2,924,224.13/2,442.29
  6. Step 6: Final answer
    x = 1,197.33

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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.