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Finding the Fourth Proportional to 3,093.74, 4,635.81 and 2,442.86

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Solution

The fourth proportional to 3,093.74, 4,635.81 and 2,442.86 is: 3,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.74 : 4,635.81 = 2,442.86 : x
  2. Step 2: Convert to fraction form
    3,093.74/4,635.81 = 2,442.86/x
  3. Step 3: Cross multiply
    3,093.74x = 4,635.81 × 2,442.86
  4. Step 4: Simplify right side
    3,093.74x = 11,324,634.82
  5. Step 5: Solve for x
    x = 11,324,634.82/3,093.74
  6. Step 6: Final answer
    x = 3,660.50

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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.