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Finding the Fourth Proportional to 2,107.25, 2,907.96 and 1,163.01

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Solution

The fourth proportional to 2,107.25, 2,907.96 and 1,163.01 is: 1,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.25 : 2,907.96 = 1,163.01 : x
  2. Step 2: Convert to fraction form
    2,107.25/2,907.96 = 1,163.01/x
  3. Step 3: Cross multiply
    2,107.25x = 2,907.96 × 1,163.01
  4. Step 4: Simplify right side
    2,107.25x = 3,381,986.56
  5. Step 5: Solve for x
    x = 3,381,986.56/2,107.25
  6. Step 6: Final answer
    x = 1,604.93

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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.