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Finding the Fourth Proportional to 2,965.51, 4,092.12 and 1,639.04

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Solution

The fourth proportional to 2,965.51, 4,092.12 and 1,639.04 is: 2,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.51 : 4,092.12 = 1,639.04 : x
  2. Step 2: Convert to fraction form
    2,965.51/4,092.12 = 1,639.04/x
  3. Step 3: Cross multiply
    2,965.51x = 4,092.12 × 1,639.04
  4. Step 4: Simplify right side
    2,965.51x = 6,707,127.90
  5. Step 5: Solve for x
    x = 6,707,127.90/2,965.51
  6. Step 6: Final answer
    x = 2,261.71

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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.