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Finding the Fourth Proportional to 1,727.72, 2,586.78 and 1,343.72

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Solution

The fourth proportional to 1,727.72, 2,586.78 and 1,343.72 is: 2,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.72 : 2,586.78 = 1,343.72 : x
  2. Step 2: Convert to fraction form
    1,727.72/2,586.78 = 1,343.72/x
  3. Step 3: Cross multiply
    1,727.72x = 2,586.78 × 1,343.72
  4. Step 4: Simplify right side
    1,727.72x = 3,475,908.02
  5. Step 5: Solve for x
    x = 3,475,908.02/1,727.72
  6. Step 6: Final answer
    x = 2,011.85

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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.