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Finding the Fourth Proportional to 1,679.86, 2,521.41 and 814.78

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Solution

The fourth proportional to 1,679.86, 2,521.41 and 814.78 is: 1,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.86 : 2,521.41 = 814.78 : x
  2. Step 2: Convert to fraction form
    1,679.86/2,521.41 = 814.78/x
  3. Step 3: Cross multiply
    1,679.86x = 2,521.41 × 814.78
  4. Step 4: Simplify right side
    1,679.86x = 2,054,394.44
  5. Step 5: Solve for x
    x = 2,054,394.44/1,679.86
  6. Step 6: Final answer
    x = 1,222.96

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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.