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Finding the Fourth Proportional to 1,898.56, 2,846.49 and 727.57

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Solution

The fourth proportional to 1,898.56, 2,846.49 and 727.57 is: 1,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.56 : 2,846.49 = 727.57 : x
  2. Step 2: Convert to fraction form
    1,898.56/2,846.49 = 727.57/x
  3. Step 3: Cross multiply
    1,898.56x = 2,846.49 × 727.57
  4. Step 4: Simplify right side
    1,898.56x = 2,071,020.73
  5. Step 5: Solve for x
    x = 2,071,020.73/1,898.56
  6. Step 6: Final answer
    x = 1,090.84

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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.