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Finding the Fourth Proportional to 2,442.34, 3,663.71 and 798.85

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Solution

The fourth proportional to 2,442.34, 3,663.71 and 798.85 is: 1,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.34 : 3,663.71 = 798.85 : x
  2. Step 2: Convert to fraction form
    2,442.34/3,663.71 = 798.85/x
  3. Step 3: Cross multiply
    2,442.34x = 3,663.71 × 798.85
  4. Step 4: Simplify right side
    2,442.34x = 2,926,754.73
  5. Step 5: Solve for x
    x = 2,926,754.73/2,442.34
  6. Step 6: Final answer
    x = 1,198.34

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1.5x scale

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.