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Finding the Fourth Proportional to 2,629.94, 3,942.57 and 985.33

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Solution

The fourth proportional to 2,629.94, 3,942.57 and 985.33 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.94 : 3,942.57 = 985.33 : x
  2. Step 2: Convert to fraction form
    2,629.94/3,942.57 = 985.33/x
  3. Step 3: Cross multiply
    2,629.94x = 3,942.57 × 985.33
  4. Step 4: Simplify right side
    2,629.94x = 3,884,741.12
  5. Step 5: Solve for x
    x = 3,884,741.12/2,629.94
  6. Step 6: Final answer
    x = 1,477.12

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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.