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Finding the Fourth Proportional to 2,352.15, 3,525.75 and 791.61

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Solution

The fourth proportional to 2,352.15, 3,525.75 and 791.61 is: 1,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.15 : 3,525.75 = 791.61 : x
  2. Step 2: Convert to fraction form
    2,352.15/3,525.75 = 791.61/x
  3. Step 3: Cross multiply
    2,352.15x = 3,525.75 × 791.61
  4. Step 4: Simplify right side
    2,352.15x = 2,791,020.94
  5. Step 5: Solve for x
    x = 2,791,020.94/2,352.15
  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.