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Finding the Fourth Proportional to 2,558.67, 3,837.62 and 803.27

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Solution

The fourth proportional to 2,558.67, 3,837.62 and 803.27 is: 1,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.67 : 3,837.62 = 803.27 : x
  2. Step 2: Convert to fraction form
    2,558.67/3,837.62 = 803.27/x
  3. Step 3: Cross multiply
    2,558.67x = 3,837.62 × 803.27
  4. Step 4: Simplify right side
    2,558.67x = 3,082,621.81
  5. Step 5: Solve for x
    x = 3,082,621.81/2,558.67
  6. Step 6: Final answer
    x = 1,204.78

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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.