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Finding the Fourth Proportional to 1,192.77, 1,791.90 and 1,143.59

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Solution

The fourth proportional to 1,192.77, 1,791.90 and 1,143.59 is: 1,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.77 : 1,791.90 = 1,143.59 : x
  2. Step 2: Convert to fraction form
    1,192.77/1,791.90 = 1,143.59/x
  3. Step 3: Cross multiply
    1,192.77x = 1,791.90 × 1,143.59
  4. Step 4: Simplify right side
    1,192.77x = 2,049,189.96
  5. Step 5: Solve for x
    x = 2,049,189.96/1,192.77
  6. Step 6: Final answer
    x = 1,718.01

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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.