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Finding the Fourth Proportional to 2,760.81, 4,141.21 and 813.03

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Solution

The fourth proportional to 2,760.81, 4,141.21 and 813.03 is: 1,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.81 : 4,141.21 = 813.03 : x
  2. Step 2: Convert to fraction form
    2,760.81/4,141.21 = 813.03/x
  3. Step 3: Cross multiply
    2,760.81x = 4,141.21 × 813.03
  4. Step 4: Simplify right side
    2,760.81x = 3,366,927.97
  5. Step 5: Solve for x
    x = 3,366,927.97/2,760.81
  6. Step 6: Final answer
    x = 1,219.54

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1.5x scale

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.