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Finding the Fourth Proportional to 1,942.89, 2,914.32 and 1,287.71

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Solution

The fourth proportional to 1,942.89, 2,914.32 and 1,287.71 is: 1,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.89 : 2,914.32 = 1,287.71 : x
  2. Step 2: Convert to fraction form
    1,942.89/2,914.32 = 1,287.71/x
  3. Step 3: Cross multiply
    1,942.89x = 2,914.32 × 1,287.71
  4. Step 4: Simplify right side
    1,942.89x = 3,752,784.44
  5. Step 5: Solve for x
    x = 3,752,784.44/1,942.89
  6. Step 6: Final answer
    x = 1,931.54

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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.