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Finding the Fourth Proportional to 2,442.46, 3,663.85 and 798.54

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Solution

The fourth proportional to 2,442.46, 3,663.85 and 798.54 is: 1,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.46 : 3,663.85 = 798.54 : x
  2. Step 2: Convert to fraction form
    2,442.46/3,663.85 = 798.54/x
  3. Step 3: Cross multiply
    2,442.46x = 3,663.85 × 798.54
  4. Step 4: Simplify right side
    2,442.46x = 2,925,730.78
  5. Step 5: Solve for x
    x = 2,925,730.78/2,442.46
  6. Step 6: Final answer
    x = 1,197.86

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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.