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Finding the Fourth Proportional to 2,965.89, 4,092.88 and 1,639.57

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Solution

The fourth proportional to 2,965.89, 4,092.88 and 1,639.57 is: 2,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.89 : 4,092.88 = 1,639.57 : x
  2. Step 2: Convert to fraction form
    2,965.89/4,092.88 = 1,639.57/x
  3. Step 3: Cross multiply
    2,965.89x = 4,092.88 × 1,639.57
  4. Step 4: Simplify right side
    2,965.89x = 6,710,548.17
  5. Step 5: Solve for x
    x = 6,710,548.17/2,965.89
  6. Step 6: Final answer
    x = 2,262.57

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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.