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Finding the Fourth Proportional to 3,144.86, 4,717.87 and 1,294.97

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Solution

The fourth proportional to 3,144.86, 4,717.87 and 1,294.97 is: 1,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.86 : 4,717.87 = 1,294.97 : x
  2. Step 2: Convert to fraction form
    3,144.86/4,717.87 = 1,294.97/x
  3. Step 3: Cross multiply
    3,144.86x = 4,717.87 × 1,294.97
  4. Step 4: Simplify right side
    3,144.86x = 6,109,498.00
  5. Step 5: Solve for x
    x = 6,109,498.00/3,144.86
  6. Step 6: Final answer
    x = 1,942.69

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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.