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Finding the Fourth Proportional to 2,310.69, 3,464.97 and 849.85

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Solution

The fourth proportional to 2,310.69, 3,464.97 and 849.85 is: 1,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.69 : 3,464.97 = 849.85 : x
  2. Step 2: Convert to fraction form
    2,310.69/3,464.97 = 849.85/x
  3. Step 3: Cross multiply
    2,310.69x = 3,464.97 × 849.85
  4. Step 4: Simplify right side
    2,310.69x = 2,944,704.75
  5. Step 5: Solve for x
    x = 2,944,704.75/2,310.69
  6. Step 6: Final answer
    x = 1,274.38

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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.