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Finding the Fourth Proportional to 2,477.44, 3,716.62 and 834.46

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Solution

The fourth proportional to 2,477.44, 3,716.62 and 834.46 is: 1,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.44 : 3,716.62 = 834.46 : x
  2. Step 2: Convert to fraction form
    2,477.44/3,716.62 = 834.46/x
  3. Step 3: Cross multiply
    2,477.44x = 3,716.62 × 834.46
  4. Step 4: Simplify right side
    2,477.44x = 3,101,370.73
  5. Step 5: Solve for x
    x = 3,101,370.73/2,477.44
  6. Step 6: Final answer
    x = 1,251.84

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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.