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Finding the Fourth Proportional to 2,157.09, 3,232.57 and 984.21

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Solution

The fourth proportional to 2,157.09, 3,232.57 and 984.21 is: 1,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.09 : 3,232.57 = 984.21 : x
  2. Step 2: Convert to fraction form
    2,157.09/3,232.57 = 984.21/x
  3. Step 3: Cross multiply
    2,157.09x = 3,232.57 × 984.21
  4. Step 4: Simplify right side
    2,157.09x = 3,181,527.72
  5. Step 5: Solve for x
    x = 3,181,527.72/2,157.09
  6. Step 6: Final answer
    x = 1,474.92

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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.