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Finding the Fourth Proportional to 2,442.78, 3,663.41 and 798.98

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Solution

The fourth proportional to 2,442.78, 3,663.41 and 798.98 is: 1,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.78 : 3,663.41 = 798.98 : x
  2. Step 2: Convert to fraction form
    2,442.78/3,663.41 = 798.98/x
  3. Step 3: Cross multiply
    2,442.78x = 3,663.41 × 798.98
  4. Step 4: Simplify right side
    2,442.78x = 2,926,969.01
  5. Step 5: Solve for x
    x = 2,926,969.01/2,442.78
  6. Step 6: Final answer
    x = 1,198.21

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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.