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Finding the Fourth Proportional to 2,131.88, 2,942.21 and 1,187.83

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Solution

The fourth proportional to 2,131.88, 2,942.21 and 1,187.83 is: 1,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.88 : 2,942.21 = 1,187.83 : x
  2. Step 2: Convert to fraction form
    2,131.88/2,942.21 = 1,187.83/x
  3. Step 3: Cross multiply
    2,131.88x = 2,942.21 × 1,187.83
  4. Step 4: Simplify right side
    2,131.88x = 3,494,833.17
  5. Step 5: Solve for x
    x = 3,494,833.17/2,131.88
  6. Step 6: Final answer
    x = 1,639.32

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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.