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Finding the Fourth Proportional to 1,768.70, 2,650.01 and 1,614.39

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Solution

The fourth proportional to 1,768.70, 2,650.01 and 1,614.39 is: 2,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.70 : 2,650.01 = 1,614.39 : x
  2. Step 2: Convert to fraction form
    1,768.70/2,650.01 = 1,614.39/x
  3. Step 3: Cross multiply
    1,768.70x = 2,650.01 × 1,614.39
  4. Step 4: Simplify right side
    1,768.70x = 4,278,141.57
  5. Step 5: Solve for x
    x = 4,278,141.57/1,768.70
  6. Step 6: Final answer
    x = 2,418.81

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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.