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Finding the Fourth Proportional to 3,107.97, 4,658.11 and 1,441.09

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Solution

The fourth proportional to 3,107.97, 4,658.11 and 1,441.09 is: 2,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.97 : 4,658.11 = 1,441.09 : x
  2. Step 2: Convert to fraction form
    3,107.97/4,658.11 = 1,441.09/x
  3. Step 3: Cross multiply
    3,107.97x = 4,658.11 × 1,441.09
  4. Step 4: Simplify right side
    3,107.97x = 6,712,757.96
  5. Step 5: Solve for x
    x = 6,712,757.96/3,107.97
  6. Step 6: Final answer
    x = 2,159.85

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1.5x scale

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.