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Finding the Fourth Proportional to 1,677.36, 2,514.31 and 1,213.99

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Solution

The fourth proportional to 1,677.36, 2,514.31 and 1,213.99 is: 1,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.36 : 2,514.31 = 1,213.99 : x
  2. Step 2: Convert to fraction form
    1,677.36/2,514.31 = 1,213.99/x
  3. Step 3: Cross multiply
    1,677.36x = 2,514.31 × 1,213.99
  4. Step 4: Simplify right side
    1,677.36x = 3,052,337.88
  5. Step 5: Solve for x
    x = 3,052,337.88/1,677.36
  6. Step 6: Final answer
    x = 1,819.73

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