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Finding the Fourth Proportional to 1,605.88, 2,409.15 and 727.96

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Solution

The fourth proportional to 1,605.88, 2,409.15 and 727.96 is: 1,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.88 : 2,409.15 = 727.96 : x
  2. Step 2: Convert to fraction form
    1,605.88/2,409.15 = 727.96/x
  3. Step 3: Cross multiply
    1,605.88x = 2,409.15 × 727.96
  4. Step 4: Simplify right side
    1,605.88x = 1,753,764.83
  5. Step 5: Solve for x
    x = 1,753,764.83/1,605.88
  6. Step 6: Final answer
    x = 1,092.09

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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.