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Finding the Fourth Proportional to 2,053.62, 3,080.09 and 667.95

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Solution

The fourth proportional to 2,053.62, 3,080.09 and 667.95 is: 1,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.62 : 3,080.09 = 667.95 : x
  2. Step 2: Convert to fraction form
    2,053.62/3,080.09 = 667.95/x
  3. Step 3: Cross multiply
    2,053.62x = 3,080.09 × 667.95
  4. Step 4: Simplify right side
    2,053.62x = 2,057,336.24
  5. Step 5: Solve for x
    x = 2,057,336.24/2,053.62
  6. Step 6: Final answer
    x = 1,001.81

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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.