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Finding the Fourth Proportional to 2,310.89, 3,464.71 and 849.85

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Solution

The fourth proportional to 2,310.89, 3,464.71 and 849.85 is: 1,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.89 : 3,464.71 = 849.85 : x
  2. Step 2: Convert to fraction form
    2,310.89/3,464.71 = 849.85/x
  3. Step 3: Cross multiply
    2,310.89x = 3,464.71 × 849.85
  4. Step 4: Simplify right side
    2,310.89x = 2,944,473.01
  5. Step 5: Solve for x
    x = 2,944,473.01/2,310.89
  6. Step 6: Final answer
    x = 1,274.18

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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.