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Finding the Fourth Proportional to 1,327.86, 1,992.46 and 1,005.22

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Solution

The fourth proportional to 1,327.86, 1,992.46 and 1,005.22 is: 1,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.86 : 1,992.46 = 1,005.22 : x
  2. Step 2: Convert to fraction form
    1,327.86/1,992.46 = 1,005.22/x
  3. Step 3: Cross multiply
    1,327.86x = 1,992.46 × 1,005.22
  4. Step 4: Simplify right side
    1,327.86x = 2,002,860.64
  5. Step 5: Solve for x
    x = 2,002,860.64/1,327.86
  6. Step 6: Final answer
    x = 1,508.34

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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.