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Finding the Fourth Proportional to 1,727.65, 2,592.25 and 905.73

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Solution

The fourth proportional to 1,727.65, 2,592.25 and 905.73 is: 1,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.65 : 2,592.25 = 905.73 : x
  2. Step 2: Convert to fraction form
    1,727.65/2,592.25 = 905.73/x
  3. Step 3: Cross multiply
    1,727.65x = 2,592.25 × 905.73
  4. Step 4: Simplify right side
    1,727.65x = 2,347,878.59
  5. Step 5: Solve for x
    x = 2,347,878.59/1,727.65
  6. Step 6: Final answer
    x = 1,359.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.