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Finding the Fourth Proportional to 2,965.42, 4,092.29 and 1,639.15

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Solution

The fourth proportional to 2,965.42, 4,092.29 and 1,639.15 is: 2,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.42 : 4,092.29 = 1,639.15 : x
  2. Step 2: Convert to fraction form
    2,965.42/4,092.29 = 1,639.15/x
  3. Step 3: Cross multiply
    2,965.42x = 4,092.29 × 1,639.15
  4. Step 4: Simplify right side
    2,965.42x = 6,707,877.15
  5. Step 5: Solve for x
    x = 6,707,877.15/2,965.42
  6. Step 6: Final answer
    x = 2,262.03

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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.