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Finding the Fourth Proportional to 2,435.06, 3,651.82 and 791.22

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Solution

The fourth proportional to 2,435.06, 3,651.82 and 791.22 is: 1,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.06 : 3,651.82 = 791.22 : x
  2. Step 2: Convert to fraction form
    2,435.06/3,651.82 = 791.22/x
  3. Step 3: Cross multiply
    2,435.06x = 3,651.82 × 791.22
  4. Step 4: Simplify right side
    2,435.06x = 2,889,393.02
  5. Step 5: Solve for x
    x = 2,889,393.02/2,435.06
  6. Step 6: Final answer
    x = 1,186.58

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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.