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Finding the Fourth Proportional to 3,109.94, 4,666.36 and 1,163.51

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Solution

The fourth proportional to 3,109.94, 4,666.36 and 1,163.51 is: 1,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.94 : 4,666.36 = 1,163.51 : x
  2. Step 2: Convert to fraction form
    3,109.94/4,666.36 = 1,163.51/x
  3. Step 3: Cross multiply
    3,109.94x = 4,666.36 × 1,163.51
  4. Step 4: Simplify right side
    3,109.94x = 5,429,356.52
  5. Step 5: Solve for x
    x = 5,429,356.52/3,109.94
  6. Step 6: Final answer
    x = 1,745.81

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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.