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Finding the Fourth Proportional to 1,274.30, 1,912.26 and 961.64

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Solution

The fourth proportional to 1,274.30, 1,912.26 and 961.64 is: 1,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.30 : 1,912.26 = 961.64 : x
  2. Step 2: Convert to fraction form
    1,274.30/1,912.26 = 961.64/x
  3. Step 3: Cross multiply
    1,274.30x = 1,912.26 × 961.64
  4. Step 4: Simplify right side
    1,274.30x = 1,838,896.15
  5. Step 5: Solve for x
    x = 1,838,896.15/1,274.30
  6. Step 6: Final answer
    x = 1,443.07

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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.