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Finding the Fourth Proportional to 2,965.88, 4,092.82 and 1,639.56

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Solution

The fourth proportional to 2,965.88, 4,092.82 and 1,639.56 is: 2,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.88 : 4,092.82 = 1,639.56 : x
  2. Step 2: Convert to fraction form
    2,965.88/4,092.82 = 1,639.56/x
  3. Step 3: Cross multiply
    2,965.88x = 4,092.82 × 1,639.56
  4. Step 4: Simplify right side
    2,965.88x = 6,710,423.96
  5. Step 5: Solve for x
    x = 6,710,423.96/2,965.88
  6. Step 6: Final answer
    x = 2,262.54

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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.