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Finding the Fourth Proportional to 2,561.34, 3,843.50 and 1,080.47

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Solution

The fourth proportional to 2,561.34, 3,843.50 and 1,080.47 is: 1,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.34 : 3,843.50 = 1,080.47 : x
  2. Step 2: Convert to fraction form
    2,561.34/3,843.50 = 1,080.47/x
  3. Step 3: Cross multiply
    2,561.34x = 3,843.50 × 1,080.47
  4. Step 4: Simplify right side
    2,561.34x = 4,152,786.45
  5. Step 5: Solve for x
    x = 4,152,786.45/2,561.34
  6. Step 6: Final answer
    x = 1,621.33

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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.