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Finding the Fourth Proportional to 2,477.88, 3,716.80 and 834.41

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Solution

The fourth proportional to 2,477.88, 3,716.80 and 834.41 is: 1,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.88 : 3,716.80 = 834.41 : x
  2. Step 2: Convert to fraction form
    2,477.88/3,716.80 = 834.41/x
  3. Step 3: Cross multiply
    2,477.88x = 3,716.80 × 834.41
  4. Step 4: Simplify right side
    2,477.88x = 3,101,335.09
  5. Step 5: Solve for x
    x = 3,101,335.09/2,477.88
  6. Step 6: Final answer
    x = 1,251.61

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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.