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Finding the Fourth Proportional to 2,489.81, 3,732.48 and 1,028.03

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Solution

The fourth proportional to 2,489.81, 3,732.48 and 1,028.03 is: 1,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.81 : 3,732.48 = 1,028.03 : x
  2. Step 2: Convert to fraction form
    2,489.81/3,732.48 = 1,028.03/x
  3. Step 3: Cross multiply
    2,489.81x = 3,732.48 × 1,028.03
  4. Step 4: Simplify right side
    2,489.81x = 3,837,082.75
  5. Step 5: Solve for x
    x = 3,837,082.75/2,489.81
  6. Step 6: Final answer
    x = 1,541.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.