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Finding the Fourth Proportional to 2,744.66, 3,787.86 and 1,625.84

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Solution

The fourth proportional to 2,744.66, 3,787.86 and 1,625.84 is: 2,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.66 : 3,787.86 = 1,625.84 : x
  2. Step 2: Convert to fraction form
    2,744.66/3,787.86 = 1,625.84/x
  3. Step 3: Cross multiply
    2,744.66x = 3,787.86 × 1,625.84
  4. Step 4: Simplify right side
    2,744.66x = 6,158,454.30
  5. Step 5: Solve for x
    x = 6,158,454.30/2,744.66
  6. Step 6: Final answer
    x = 2,243.79

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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.