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Finding the Fourth Proportional to 3,166.13, 4,747.17 and 1,522.64

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Solution

The fourth proportional to 3,166.13, 4,747.17 and 1,522.64 is: 2,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.13 : 4,747.17 = 1,522.64 : x
  2. Step 2: Convert to fraction form
    3,166.13/4,747.17 = 1,522.64/x
  3. Step 3: Cross multiply
    3,166.13x = 4,747.17 × 1,522.64
  4. Step 4: Simplify right side
    3,166.13x = 7,228,230.93
  5. Step 5: Solve for x
    x = 7,228,230.93/3,166.13
  6. Step 6: Final answer
    x = 2,282.99

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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.