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Finding the Fourth Proportional to 3,053.67, 4,213.83 and 1,727.50

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Solution

The fourth proportional to 3,053.67, 4,213.83 and 1,727.50 is: 2,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.67 : 4,213.83 = 1,727.50 : x
  2. Step 2: Convert to fraction form
    3,053.67/4,213.83 = 1,727.50/x
  3. Step 3: Cross multiply
    3,053.67x = 4,213.83 × 1,727.50
  4. Step 4: Simplify right side
    3,053.67x = 7,279,380.79
  5. Step 5: Solve for x
    x = 7,279,380.79/3,053.67
  6. Step 6: Final answer
    x = 2,383.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.