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Finding the Fourth Proportional to 2,843.73, 4,265.99 and 1,457.79

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Solution

The fourth proportional to 2,843.73, 4,265.99 and 1,457.79 is: 2,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.73 : 4,265.99 = 1,457.79 : x
  2. Step 2: Convert to fraction form
    2,843.73/4,265.99 = 1,457.79/x
  3. Step 3: Cross multiply
    2,843.73x = 4,265.99 × 1,457.79
  4. Step 4: Simplify right side
    2,843.73x = 6,218,910.27
  5. Step 5: Solve for x
    x = 6,218,910.27/2,843.73
  6. Step 6: Final answer
    x = 2,186.88

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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.