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Finding the Fourth Proportional to 2,156.21, 3,232.23 and 694.37

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Solution

The fourth proportional to 2,156.21, 3,232.23 and 694.37 is: 1,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.21 : 3,232.23 = 694.37 : x
  2. Step 2: Convert to fraction form
    2,156.21/3,232.23 = 694.37/x
  3. Step 3: Cross multiply
    2,156.21x = 3,232.23 × 694.37
  4. Step 4: Simplify right side
    2,156.21x = 2,244,363.55
  5. Step 5: Solve for x
    x = 2,244,363.55/2,156.21
  6. Step 6: Final answer
    x = 1,040.88

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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.