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Finding the Fourth Proportional to 2,053.97, 3,080.62 and 573.30

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Solution

The fourth proportional to 2,053.97, 3,080.62 and 573.30 is: 859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.97 : 3,080.62 = 573.30 : x
  2. Step 2: Convert to fraction form
    2,053.97/3,080.62 = 573.30/x
  3. Step 3: Cross multiply
    2,053.97x = 3,080.62 × 573.30
  4. Step 4: Simplify right side
    2,053.97x = 1,766,104.04
  5. Step 5: Solve for x
    x = 1,766,104.04/2,053.97
  6. Step 6: Final answer
    x = 859.85

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Why These Related Problems?

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