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Finding the Fourth Proportional to 3,256.49, 4,884.74 and 791.30

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Solution

The fourth proportional to 3,256.49, 4,884.74 and 791.30 is: 1,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.49 : 4,884.74 = 791.30 : x
  2. Step 2: Convert to fraction form
    3,256.49/4,884.74 = 791.30/x
  3. Step 3: Cross multiply
    3,256.49x = 4,884.74 × 791.30
  4. Step 4: Simplify right side
    3,256.49x = 3,865,303.02
  5. Step 5: Solve for x
    x = 3,865,303.02/3,256.49
  6. Step 6: Final answer
    x = 1,186.95

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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.