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Finding the Fourth Proportional to 2,310.91, 3,188.99 and 1,414.35

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Solution

The fourth proportional to 2,310.91, 3,188.99 and 1,414.35 is: 1,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.91 : 3,188.99 = 1,414.35 : x
  2. Step 2: Convert to fraction form
    2,310.91/3,188.99 = 1,414.35/x
  3. Step 3: Cross multiply
    2,310.91x = 3,188.99 × 1,414.35
  4. Step 4: Simplify right side
    2,310.91x = 4,510,348.01
  5. Step 5: Solve for x
    x = 4,510,348.01/2,310.91
  6. Step 6: Final answer
    x = 1,951.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.