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Finding the Fourth Proportional to 1,814.29, 2,721.22 and 581.59

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Solution

The fourth proportional to 1,814.29, 2,721.22 and 581.59 is: 872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.29 : 2,721.22 = 581.59 : x
  2. Step 2: Convert to fraction form
    1,814.29/2,721.22 = 581.59/x
  3. Step 3: Cross multiply
    1,814.29x = 2,721.22 × 581.59
  4. Step 4: Simplify right side
    1,814.29x = 1,582,634.34
  5. Step 5: Solve for x
    x = 1,582,634.34/1,814.29
  6. Step 6: Final answer
    x = 872.32

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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.