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Finding the Fourth Proportional to 2,157.14, 3,232.67 and 984.26

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Solution

The fourth proportional to 2,157.14, 3,232.67 and 984.26 is: 1,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.14 : 3,232.67 = 984.26 : x
  2. Step 2: Convert to fraction form
    2,157.14/3,232.67 = 984.26/x
  3. Step 3: Cross multiply
    2,157.14x = 3,232.67 × 984.26
  4. Step 4: Simplify right side
    2,157.14x = 3,181,787.77
  5. Step 5: Solve for x
    x = 3,181,787.77/2,157.14
  6. Step 6: Final answer
    x = 1,475.00

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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.