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Finding the Fourth Proportional to 3,197.55, 4,796.32 and 1,552.68

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Solution

The fourth proportional to 3,197.55, 4,796.32 and 1,552.68 is: 2,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.55 : 4,796.32 = 1,552.68 : x
  2. Step 2: Convert to fraction form
    3,197.55/4,796.32 = 1,552.68/x
  3. Step 3: Cross multiply
    3,197.55x = 4,796.32 × 1,552.68
  4. Step 4: Simplify right side
    3,197.55x = 7,447,174.64
  5. Step 5: Solve for x
    x = 7,447,174.64/3,197.55
  6. Step 6: Final answer
    x = 2,329.03

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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.