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Finding the Fourth Proportional to 2,052.69, 3,080.27 and 819.91

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Solution

The fourth proportional to 2,052.69, 3,080.27 and 819.91 is: 1,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.69 : 3,080.27 = 819.91 : x
  2. Step 2: Convert to fraction form
    2,052.69/3,080.27 = 819.91/x
  3. Step 3: Cross multiply
    2,052.69x = 3,080.27 × 819.91
  4. Step 4: Simplify right side
    2,052.69x = 2,525,544.18
  5. Step 5: Solve for x
    x = 2,525,544.18/2,052.69
  6. Step 6: Final answer
    x = 1,230.36

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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.