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Finding the Fourth Proportional to 2,310.70, 3,481.64 and 1,908.84

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Solution

The fourth proportional to 2,310.70, 3,481.64 and 1,908.84 is: 2,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.70 : 3,481.64 = 1,908.84 : x
  2. Step 2: Convert to fraction form
    2,310.70/3,481.64 = 1,908.84/x
  3. Step 3: Cross multiply
    2,310.70x = 3,481.64 × 1,908.84
  4. Step 4: Simplify right side
    2,310.70x = 6,645,876.29
  5. Step 5: Solve for x
    x = 6,645,876.29/2,310.70
  6. Step 6: Final answer
    x = 2,876.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.