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Finding the Fourth Proportional to 1,828.34, 2,540.04 and 1,811.28

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Solution

The fourth proportional to 1,828.34, 2,540.04 and 1,811.28 is: 2,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.34 : 2,540.04 = 1,811.28 : x
  2. Step 2: Convert to fraction form
    1,828.34/2,540.04 = 1,811.28/x
  3. Step 3: Cross multiply
    1,828.34x = 2,540.04 × 1,811.28
  4. Step 4: Simplify right side
    1,828.34x = 4,600,723.65
  5. Step 5: Solve for x
    x = 4,600,723.65/1,828.34
  6. Step 6: Final answer
    x = 2,516.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.