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Finding the Fourth Proportional to 1,651.70, 2,475.73 and 676.97

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Solution

The fourth proportional to 1,651.70, 2,475.73 and 676.97 is: 1,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.70 : 2,475.73 = 676.97 : x
  2. Step 2: Convert to fraction form
    1,651.70/2,475.73 = 676.97/x
  3. Step 3: Cross multiply
    1,651.70x = 2,475.73 × 676.97
  4. Step 4: Simplify right side
    1,651.70x = 1,675,992.69
  5. Step 5: Solve for x
    x = 1,675,992.69/1,651.70
  6. Step 6: Final answer
    x = 1,014.71

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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.