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Finding the Fourth Proportional to 2,131.94, 2,942.09 and 1,187.80

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Solution

The fourth proportional to 2,131.94, 2,942.09 and 1,187.80 is: 1,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.94 : 2,942.09 = 1,187.80 : x
  2. Step 2: Convert to fraction form
    2,131.94/2,942.09 = 1,187.80/x
  3. Step 3: Cross multiply
    2,131.94x = 2,942.09 × 1,187.80
  4. Step 4: Simplify right side
    2,131.94x = 3,494,614.50
  5. Step 5: Solve for x
    x = 3,494,614.50/2,131.94
  6. Step 6: Final answer
    x = 1,639.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.