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Finding the Fourth Proportional to 3,107.17, 4,661.67 and 1,645.54

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Solution

The fourth proportional to 3,107.17, 4,661.67 and 1,645.54 is: 2,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.17 : 4,661.67 = 1,645.54 : x
  2. Step 2: Convert to fraction form
    3,107.17/4,661.67 = 1,645.54/x
  3. Step 3: Cross multiply
    3,107.17x = 4,661.67 × 1,645.54
  4. Step 4: Simplify right side
    3,107.17x = 7,670,964.45
  5. Step 5: Solve for x
    x = 7,670,964.45/3,107.17
  6. Step 6: Final answer
    x = 2,468.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.