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Finding the Fourth Proportional to 2,179.38, 3,008.62 and 1,706.44

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Solution

The fourth proportional to 2,179.38, 3,008.62 and 1,706.44 is: 2,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.38 : 3,008.62 = 1,706.44 : x
  2. Step 2: Convert to fraction form
    2,179.38/3,008.62 = 1,706.44/x
  3. Step 3: Cross multiply
    2,179.38x = 3,008.62 × 1,706.44
  4. Step 4: Simplify right side
    2,179.38x = 5,134,029.51
  5. Step 5: Solve for x
    x = 5,134,029.51/2,179.38
  6. Step 6: Final answer
    x = 2,355.73

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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.