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Finding the Fourth Proportional to 2,716.26, 4,071.86 and 984.48

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Solution

The fourth proportional to 2,716.26, 4,071.86 and 984.48 is: 1,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.26 : 4,071.86 = 984.48 : x
  2. Step 2: Convert to fraction form
    2,716.26/4,071.86 = 984.48/x
  3. Step 3: Cross multiply
    2,716.26x = 4,071.86 × 984.48
  4. Step 4: Simplify right side
    2,716.26x = 4,008,664.73
  5. Step 5: Solve for x
    x = 4,008,664.73/2,716.26
  6. Step 6: Final answer
    x = 1,475.80

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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.