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Finding the Fourth Proportional to 1,517.22, 2,274.57 and 543.06

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Solution

The fourth proportional to 1,517.22, 2,274.57 and 543.06 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.22 : 2,274.57 = 543.06 : x
  2. Step 2: Convert to fraction form
    1,517.22/2,274.57 = 543.06/x
  3. Step 3: Cross multiply
    1,517.22x = 2,274.57 × 543.06
  4. Step 4: Simplify right side
    1,517.22x = 1,235,227.98
  5. Step 5: Solve for x
    x = 1,235,227.98/1,517.22
  6. Step 6: Final answer
    x = 814.14

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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.