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Finding the Fourth Proportional to 2,965.84, 4,092.54 and 1,639.48

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Solution

The fourth proportional to 2,965.84, 4,092.54 and 1,639.48 is: 2,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.84 : 4,092.54 = 1,639.48 : x
  2. Step 2: Convert to fraction form
    2,965.84/4,092.54 = 1,639.48/x
  3. Step 3: Cross multiply
    2,965.84x = 4,092.54 × 1,639.48
  4. Step 4: Simplify right side
    2,965.84x = 6,709,637.48
  5. Step 5: Solve for x
    x = 6,709,637.48/2,965.84
  6. Step 6: Final answer
    x = 2,262.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.