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Finding the Fourth Proportional to 2,820.70, 4,231.17 and 872.94

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Solution

The fourth proportional to 2,820.70, 4,231.17 and 872.94 is: 1,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.70 : 4,231.17 = 872.94 : x
  2. Step 2: Convert to fraction form
    2,820.70/4,231.17 = 872.94/x
  3. Step 3: Cross multiply
    2,820.70x = 4,231.17 × 872.94
  4. Step 4: Simplify right side
    2,820.70x = 3,693,557.54
  5. Step 5: Solve for x
    x = 3,693,557.54/2,820.70
  6. Step 6: Final answer
    x = 1,309.45

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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.