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Finding the Fourth Proportional to 1,335.65, 1,991.73 and 1,229.27

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Solution

The fourth proportional to 1,335.65, 1,991.73 and 1,229.27 is: 1,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.65 : 1,991.73 = 1,229.27 : x
  2. Step 2: Convert to fraction form
    1,335.65/1,991.73 = 1,229.27/x
  3. Step 3: Cross multiply
    1,335.65x = 1,991.73 × 1,229.27
  4. Step 4: Simplify right side
    1,335.65x = 2,448,367.79
  5. Step 5: Solve for x
    x = 2,448,367.79/1,335.65
  6. Step 6: Final answer
    x = 1,833.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.