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Finding the Fourth Proportional to 1,276.13, 1,912.37 and 842.38

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Solution

The fourth proportional to 1,276.13, 1,912.37 and 842.38 is: 1,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.13 : 1,912.37 = 842.38 : x
  2. Step 2: Convert to fraction form
    1,276.13/1,912.37 = 842.38/x
  3. Step 3: Cross multiply
    1,276.13x = 1,912.37 × 842.38
  4. Step 4: Simplify right side
    1,276.13x = 1,610,942.24
  5. Step 5: Solve for x
    x = 1,610,942.24/1,276.13
  6. Step 6: Final answer
    x = 1,262.37

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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.