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Finding the Fourth Proportional to 2,180.82, 3,008.39 and 1,296

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Solution

The fourth proportional to 2,180.82, 3,008.39 and 1,296 is: 1,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.82 : 3,008.39 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,180.82/3,008.39 = 1,296/x
  3. Step 3: Cross multiply
    2,180.82x = 3,008.39 × 1,296
  4. Step 4: Simplify right side
    2,180.82x = 3,898,874.25
  5. Step 5: Solve for x
    x = 3,898,874.25/2,180.82
  6. Step 6: Final answer
    x = 1,787.80

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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.