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Finding the Fourth Proportional to 1,542.09, 2,127.99 and 843.33

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Solution

The fourth proportional to 1,542.09, 2,127.99 and 843.33 is: 1,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.09 : 2,127.99 = 843.33 : x
  2. Step 2: Convert to fraction form
    1,542.09/2,127.99 = 843.33/x
  3. Step 3: Cross multiply
    1,542.09x = 2,127.99 × 843.33
  4. Step 4: Simplify right side
    1,542.09x = 1,794,597.81
  5. Step 5: Solve for x
    x = 1,794,597.81/1,542.09
  6. Step 6: Final answer
    x = 1,163.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.