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Finding the Fourth Proportional to 2,541.87, 3,811.44 and 982.28

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Solution

The fourth proportional to 2,541.87, 3,811.44 and 982.28 is: 1,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.87 : 3,811.44 = 982.28 : x
  2. Step 2: Convert to fraction form
    2,541.87/3,811.44 = 982.28/x
  3. Step 3: Cross multiply
    2,541.87x = 3,811.44 × 982.28
  4. Step 4: Simplify right side
    2,541.87x = 3,743,882.23
  5. Step 5: Solve for x
    x = 3,743,882.23/2,541.87
  6. Step 6: Final answer
    x = 1,472.89

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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.