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Finding the Fourth Proportional to 3,197.66, 4,795.22 and 1,553.72

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Solution

The fourth proportional to 3,197.66, 4,795.22 and 1,553.72 is: 2,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.66 : 4,795.22 = 1,553.72 : x
  2. Step 2: Convert to fraction form
    3,197.66/4,795.22 = 1,553.72/x
  3. Step 3: Cross multiply
    3,197.66x = 4,795.22 × 1,553.72
  4. Step 4: Simplify right side
    3,197.66x = 7,450,405.24
  5. Step 5: Solve for x
    x = 7,450,405.24/3,197.66
  6. Step 6: Final answer
    x = 2,329.96

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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.