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Finding the Fourth Proportional to 3,107.86, 4,662.83 and 1,257.97

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Solution

The fourth proportional to 3,107.86, 4,662.83 and 1,257.97 is: 1,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.86 : 4,662.83 = 1,257.97 : x
  2. Step 2: Convert to fraction form
    3,107.86/4,662.83 = 1,257.97/x
  3. Step 3: Cross multiply
    3,107.86x = 4,662.83 × 1,257.97
  4. Step 4: Simplify right side
    3,107.86x = 5,865,700.26
  5. Step 5: Solve for x
    x = 5,865,700.26/3,107.86
  6. Step 6: Final answer
    x = 1,887.38

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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.