Home / 2,782.82-3,839.20-1,787.96

Finding the Fourth Proportional to 2,782.82, 3,839.20 and 1,787.96

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Solution

The fourth proportional to 2,782.82, 3,839.20 and 1,787.96 is: 2,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.82 : 3,839.20 = 1,787.96 : x
  2. Step 2: Convert to fraction form
    2,782.82/3,839.20 = 1,787.96/x
  3. Step 3: Cross multiply
    2,782.82x = 3,839.20 × 1,787.96
  4. Step 4: Simplify right side
    2,782.82x = 6,864,336.03
  5. Step 5: Solve for x
    x = 6,864,336.03/2,782.82
  6. Step 6: Final answer
    x = 2,466.68

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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.