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Finding the Fourth Proportional to 2,442.47, 3,662.87 and 798.61

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Solution

The fourth proportional to 2,442.47, 3,662.87 and 798.61 is: 1,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.47 : 3,662.87 = 798.61 : x
  2. Step 2: Convert to fraction form
    2,442.47/3,662.87 = 798.61/x
  3. Step 3: Cross multiply
    2,442.47x = 3,662.87 × 798.61
  4. Step 4: Simplify right side
    2,442.47x = 2,925,202.82
  5. Step 5: Solve for x
    x = 2,925,202.82/2,442.47
  6. Step 6: Final answer
    x = 1,197.64

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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.