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Finding the Fourth Proportional to 1,614.89, 2,229.37 and 951.95

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Solution

The fourth proportional to 1,614.89, 2,229.37 and 951.95 is: 1,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.89 : 2,229.37 = 951.95 : x
  2. Step 2: Convert to fraction form
    1,614.89/2,229.37 = 951.95/x
  3. Step 3: Cross multiply
    1,614.89x = 2,229.37 × 951.95
  4. Step 4: Simplify right side
    1,614.89x = 2,122,257.32
  5. Step 5: Solve for x
    x = 2,122,257.32/1,614.89
  6. Step 6: Final answer
    x = 1,314.18

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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.