Home / 2,174.14-3,261.41-787.82

Finding the Fourth Proportional to 2,174.14, 3,261.41 and 787.82

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Solution

The fourth proportional to 2,174.14, 3,261.41 and 787.82 is: 1,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.14 : 3,261.41 = 787.82 : x
  2. Step 2: Convert to fraction form
    2,174.14/3,261.41 = 787.82/x
  3. Step 3: Cross multiply
    2,174.14x = 3,261.41 × 787.82
  4. Step 4: Simplify right side
    2,174.14x = 2,569,414.15
  5. Step 5: Solve for x
    x = 2,569,414.15/2,174.14
  6. Step 6: Final answer
    x = 1,181.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.