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Finding the Fourth Proportional to 2,896.60, 4,350.73 and 1,728.89

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Solution

The fourth proportional to 2,896.60, 4,350.73 and 1,728.89 is: 2,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.60 : 4,350.73 = 1,728.89 : x
  2. Step 2: Convert to fraction form
    2,896.60/4,350.73 = 1,728.89/x
  3. Step 3: Cross multiply
    2,896.60x = 4,350.73 × 1,728.89
  4. Step 4: Simplify right side
    2,896.60x = 7,521,933.59
  5. Step 5: Solve for x
    x = 7,521,933.59/2,896.60
  6. Step 6: Final answer
    x = 2,596.81

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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.