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Finding the Fourth Proportional to 2,965.28, 4,092.06 and 1,639.02

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Solution

The fourth proportional to 2,965.28, 4,092.06 and 1,639.02 is: 2,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.28 : 4,092.06 = 1,639.02 : x
  2. Step 2: Convert to fraction form
    2,965.28/4,092.06 = 1,639.02/x
  3. Step 3: Cross multiply
    2,965.28x = 4,092.06 × 1,639.02
  4. Step 4: Simplify right side
    2,965.28x = 6,706,968.18
  5. Step 5: Solve for x
    x = 6,706,968.18/2,965.28
  6. Step 6: Final answer
    x = 2,261.83

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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.