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Finding the Fourth Proportional to 1,761.75, 2,643.23 and 1,273.93

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Solution

The fourth proportional to 1,761.75, 2,643.23 and 1,273.93 is: 1,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.75 : 2,643.23 = 1,273.93 : x
  2. Step 2: Convert to fraction form
    1,761.75/2,643.23 = 1,273.93/x
  3. Step 3: Cross multiply
    1,761.75x = 2,643.23 × 1,273.93
  4. Step 4: Simplify right side
    1,761.75x = 3,367,286.57
  5. Step 5: Solve for x
    x = 3,367,286.57/1,761.75
  6. Step 6: Final answer
    x = 1,911.33

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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.