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Finding the Fourth Proportional to 2,969.21, 4,092.59 and 2,083.48

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Solution

The fourth proportional to 2,969.21, 4,092.59 and 2,083.48 is: 2,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.21 : 4,092.59 = 2,083.48 : x
  2. Step 2: Convert to fraction form
    2,969.21/4,092.59 = 2,083.48/x
  3. Step 3: Cross multiply
    2,969.21x = 4,092.59 × 2,083.48
  4. Step 4: Simplify right side
    2,969.21x = 8,526,824.39
  5. Step 5: Solve for x
    x = 8,526,824.39/2,969.21
  6. Step 6: Final answer
    x = 2,871.75

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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.