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Finding the Fourth Proportional to 3,107.94, 4,660.55 and 1,646.76

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Solution

The fourth proportional to 3,107.94, 4,660.55 and 1,646.76 is: 2,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.94 : 4,660.55 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    3,107.94/4,660.55 = 1,646.76/x
  3. Step 3: Cross multiply
    3,107.94x = 4,660.55 × 1,646.76
  4. Step 4: Simplify right side
    3,107.94x = 7,674,799.08
  5. Step 5: Solve for x
    x = 7,674,799.08/3,107.94
  6. Step 6: Final answer
    x = 2,469.42

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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.