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Finding the Fourth Proportional to 1,942.65, 2,914.46 and 626.40

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Solution

The fourth proportional to 1,942.65, 2,914.46 and 626.40 is: 939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.65 : 2,914.46 = 626.40 : x
  2. Step 2: Convert to fraction form
    1,942.65/2,914.46 = 626.40/x
  3. Step 3: Cross multiply
    1,942.65x = 2,914.46 × 626.40
  4. Step 4: Simplify right side
    1,942.65x = 1,825,614.61
  5. Step 5: Solve for x
    x = 1,825,614.61/1,942.65
  6. Step 6: Final answer
    x = 939.75

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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.