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Finding the Fourth Proportional to 1,324.05, 1,815.03 and 1,311.80

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Solution

The fourth proportional to 1,324.05, 1,815.03 and 1,311.80 is: 1,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.05 : 1,815.03 = 1,311.80 : x
  2. Step 2: Convert to fraction form
    1,324.05/1,815.03 = 1,311.80/x
  3. Step 3: Cross multiply
    1,324.05x = 1,815.03 × 1,311.80
  4. Step 4: Simplify right side
    1,324.05x = 2,380,950.97
  5. Step 5: Solve for x
    x = 2,380,950.97/1,324.05
  6. Step 6: Final answer
    x = 1,798.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.