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Finding the Fourth Proportional to 3,256.18, 4,884.23 and 791.00

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Solution

The fourth proportional to 3,256.18, 4,884.23 and 791.00 is: 1,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.18 : 4,884.23 = 791.00 : x
  2. Step 2: Convert to fraction form
    3,256.18/4,884.23 = 791.00/x
  3. Step 3: Cross multiply
    3,256.18x = 4,884.23 × 791.00
  4. Step 4: Simplify right side
    3,256.18x = 3,863,397.55
  5. Step 5: Solve for x
    x = 3,863,397.55/3,256.18
  6. Step 6: Final answer
    x = 1,186.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.