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Finding the Fourth Proportional to 2,634.14, 3,951.41 and 990.65

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Solution

The fourth proportional to 2,634.14, 3,951.41 and 990.65 is: 1,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.14 : 3,951.41 = 990.65 : x
  2. Step 2: Convert to fraction form
    2,634.14/3,951.41 = 990.65/x
  3. Step 3: Cross multiply
    2,634.14x = 3,951.41 × 990.65
  4. Step 4: Simplify right side
    2,634.14x = 3,914,439.61
  5. Step 5: Solve for x
    x = 3,914,439.61/2,634.14
  6. Step 6: Final answer
    x = 1,486.04

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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.