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Finding the Fourth Proportional to 2,606.73, 3,910.49 and 1,126.36

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Solution

The fourth proportional to 2,606.73, 3,910.49 and 1,126.36 is: 1,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.73 : 3,910.49 = 1,126.36 : x
  2. Step 2: Convert to fraction form
    2,606.73/3,910.49 = 1,126.36/x
  3. Step 3: Cross multiply
    2,606.73x = 3,910.49 × 1,126.36
  4. Step 4: Simplify right side
    2,606.73x = 4,404,619.52
  5. Step 5: Solve for x
    x = 4,404,619.52/2,606.73
  6. Step 6: Final answer
    x = 1,689.71

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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.