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Finding the Fourth Proportional to 2,933.94, 4,399.86 and 985.71

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Solution

The fourth proportional to 2,933.94, 4,399.86 and 985.71 is: 1,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.94 : 4,399.86 = 985.71 : x
  2. Step 2: Convert to fraction form
    2,933.94/4,399.86 = 985.71/x
  3. Step 3: Cross multiply
    2,933.94x = 4,399.86 × 985.71
  4. Step 4: Simplify right side
    2,933.94x = 4,336,986.00
  5. Step 5: Solve for x
    x = 4,336,986.00/2,933.94
  6. Step 6: Final answer
    x = 1,478.21

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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.