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Finding the Fourth Proportional to 2,107.63, 2,908.52 and 1,163.48

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Solution

The fourth proportional to 2,107.63, 2,908.52 and 1,163.48 is: 1,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.63 : 2,908.52 = 1,163.48 : x
  2. Step 2: Convert to fraction form
    2,107.63/2,908.52 = 1,163.48/x
  3. Step 3: Cross multiply
    2,107.63x = 2,908.52 × 1,163.48
  4. Step 4: Simplify right side
    2,107.63x = 3,384,006.30
  5. Step 5: Solve for x
    x = 3,384,006.30/2,107.63
  6. Step 6: Final answer
    x = 1,605.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.