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Finding the Fourth Proportional to 2,434.46, 3,651.74 and 791.00

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Solution

The fourth proportional to 2,434.46, 3,651.74 and 791.00 is: 1,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.46 : 3,651.74 = 791.00 : x
  2. Step 2: Convert to fraction form
    2,434.46/3,651.74 = 791.00/x
  3. Step 3: Cross multiply
    2,434.46x = 3,651.74 × 791.00
  4. Step 4: Simplify right side
    2,434.46x = 2,888,504.13
  5. Step 5: Solve for x
    x = 2,888,504.13/2,434.46
  6. Step 6: Final answer
    x = 1,186.51

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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.