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Finding the Fourth Proportional to 1,704.39, 2,553.85 and 1,540.37

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Solution

The fourth proportional to 1,704.39, 2,553.85 and 1,540.37 is: 2,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.39 : 2,553.85 = 1,540.37 : x
  2. Step 2: Convert to fraction form
    1,704.39/2,553.85 = 1,540.37/x
  3. Step 3: Cross multiply
    1,704.39x = 2,553.85 × 1,540.37
  4. Step 4: Simplify right side
    1,704.39x = 3,933,872.20
  5. Step 5: Solve for x
    x = 3,933,872.20/1,704.39
  6. Step 6: Final answer
    x = 2,308.08

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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.