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Finding the Fourth Proportional to 1,362.91, 1,867.71 and 1,231.69

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Solution

The fourth proportional to 1,362.91, 1,867.71 and 1,231.69 is: 1,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.91 : 1,867.71 = 1,231.69 : x
  2. Step 2: Convert to fraction form
    1,362.91/1,867.71 = 1,231.69/x
  3. Step 3: Cross multiply
    1,362.91x = 1,867.71 × 1,231.69
  4. Step 4: Simplify right side
    1,362.91x = 2,300,439.73
  5. Step 5: Solve for x
    x = 2,300,439.73/1,362.91
  6. Step 6: Final answer
    x = 1,687.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.