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Finding the Fourth Proportional to 1,814.22, 2,721.51 and 581.58

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Solution

The fourth proportional to 1,814.22, 2,721.51 and 581.58 is: 872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.22 : 2,721.51 = 581.58 : x
  2. Step 2: Convert to fraction form
    1,814.22/2,721.51 = 581.58/x
  3. Step 3: Cross multiply
    1,814.22x = 2,721.51 × 581.58
  4. Step 4: Simplify right side
    1,814.22x = 1,582,775.79
  5. Step 5: Solve for x
    x = 1,582,775.79/1,814.22
  6. Step 6: Final answer
    x = 872.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.