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Finding the Fourth Proportional to 1,999.07, 2,756.27 and 1,643.75

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Solution

The fourth proportional to 1,999.07, 2,756.27 and 1,643.75 is: 2,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.07 : 2,756.27 = 1,643.75 : x
  2. Step 2: Convert to fraction form
    1,999.07/2,756.27 = 1,643.75/x
  3. Step 3: Cross multiply
    1,999.07x = 2,756.27 × 1,643.75
  4. Step 4: Simplify right side
    1,999.07x = 4,530,610.59
  5. Step 5: Solve for x
    x = 4,530,610.59/1,999.07
  6. Step 6: Final answer
    x = 2,266.36

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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.