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Finding the Fourth Proportional to 1,814.44, 2,721.84 and 581.54

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Solution

The fourth proportional to 1,814.44, 2,721.84 and 581.54 is: 872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.44 : 2,721.84 = 581.54 : x
  2. Step 2: Convert to fraction form
    1,814.44/2,721.84 = 581.54/x
  3. Step 3: Cross multiply
    1,814.44x = 2,721.84 × 581.54
  4. Step 4: Simplify right side
    1,814.44x = 1,582,858.83
  5. Step 5: Solve for x
    x = 1,582,858.83/1,814.44
  6. Step 6: Final answer
    x = 872.37

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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.