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Finding the Fourth Proportional to 2,479.23, 3,716.25 and 835.21

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Solution

The fourth proportional to 2,479.23, 3,716.25 and 835.21 is: 1,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.23 : 3,716.25 = 835.21 : x
  2. Step 2: Convert to fraction form
    2,479.23/3,716.25 = 835.21/x
  3. Step 3: Cross multiply
    2,479.23x = 3,716.25 × 835.21
  4. Step 4: Simplify right side
    2,479.23x = 3,103,857.72
  5. Step 5: Solve for x
    x = 3,103,857.72/2,479.23
  6. Step 6: Final answer
    x = 1,251.94

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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.