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Finding the Fourth Proportional to 1,976.69, 2,726.44 and 1,268.75

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Solution

The fourth proportional to 1,976.69, 2,726.44 and 1,268.75 is: 1,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.69 : 2,726.44 = 1,268.75 : x
  2. Step 2: Convert to fraction form
    1,976.69/2,726.44 = 1,268.75/x
  3. Step 3: Cross multiply
    1,976.69x = 2,726.44 × 1,268.75
  4. Step 4: Simplify right side
    1,976.69x = 3,459,174.39
  5. Step 5: Solve for x
    x = 3,459,174.39/1,976.69
  6. Step 6: Final answer
    x = 1,749.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.