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Finding the Fourth Proportional to 3,277.80, 4,913.62 and 1,197.32

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Solution

The fourth proportional to 3,277.80, 4,913.62 and 1,197.32 is: 1,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.80 : 4,913.62 = 1,197.32 : x
  2. Step 2: Convert to fraction form
    3,277.80/4,913.62 = 1,197.32/x
  3. Step 3: Cross multiply
    3,277.80x = 4,913.62 × 1,197.32
  4. Step 4: Simplify right side
    3,277.80x = 5,883,175.50
  5. Step 5: Solve for x
    x = 5,883,175.50/3,277.80
  6. Step 6: Final answer
    x = 1,794.85

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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.