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Finding the Fourth Proportional to 2,442.74, 3,664.42 and 798.88

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Solution

The fourth proportional to 2,442.74, 3,664.42 and 798.88 is: 1,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.74 : 3,664.42 = 798.88 : x
  2. Step 2: Convert to fraction form
    2,442.74/3,664.42 = 798.88/x
  3. Step 3: Cross multiply
    2,442.74x = 3,664.42 × 798.88
  4. Step 4: Simplify right side
    2,442.74x = 2,927,431.85
  5. Step 5: Solve for x
    x = 2,927,431.85/2,442.74
  6. Step 6: Final answer
    x = 1,198.42

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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.