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Finding the Fourth Proportional to 1,287.12, 1,940.70 and 1,179.12

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Solution

The fourth proportional to 1,287.12, 1,940.70 and 1,179.12 is: 1,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.12 : 1,940.70 = 1,179.12 : x
  2. Step 2: Convert to fraction form
    1,287.12/1,940.70 = 1,179.12/x
  3. Step 3: Cross multiply
    1,287.12x = 1,940.70 × 1,179.12
  4. Step 4: Simplify right side
    1,287.12x = 2,288,318.18
  5. Step 5: Solve for x
    x = 2,288,318.18/1,287.12
  6. Step 6: Final answer
    x = 1,777.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.