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Finding the Fourth Proportional to 3,107.97, 4,655.88 and 1,645.11

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Solution

The fourth proportional to 3,107.97, 4,655.88 and 1,645.11 is: 2,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.97 : 4,655.88 = 1,645.11 : x
  2. Step 2: Convert to fraction form
    3,107.97/4,655.88 = 1,645.11/x
  3. Step 3: Cross multiply
    3,107.97x = 4,655.88 × 1,645.11
  4. Step 4: Simplify right side
    3,107.97x = 7,659,434.75
  5. Step 5: Solve for x
    x = 7,659,434.75/3,107.97
  6. Step 6: Final answer
    x = 2,464.45

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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.