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Finding the Fourth Proportional to 3,274.52, 4,911.78 and 965.84

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Solution

The fourth proportional to 3,274.52, 4,911.78 and 965.84 is: 1,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.52 : 4,911.78 = 965.84 : x
  2. Step 2: Convert to fraction form
    3,274.52/4,911.78 = 965.84/x
  3. Step 3: Cross multiply
    3,274.52x = 4,911.78 × 965.84
  4. Step 4: Simplify right side
    3,274.52x = 4,743,993.60
  5. Step 5: Solve for x
    x = 4,743,993.60/3,274.52
  6. Step 6: Final answer
    x = 1,448.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.