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Finding the Fourth Proportional to 1,596.28, 2,202.90 and 966.89

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Solution

The fourth proportional to 1,596.28, 2,202.90 and 966.89 is: 1,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.28 : 2,202.90 = 966.89 : x
  2. Step 2: Convert to fraction form
    1,596.28/2,202.90 = 966.89/x
  3. Step 3: Cross multiply
    1,596.28x = 2,202.90 × 966.89
  4. Step 4: Simplify right side
    1,596.28x = 2,129,961.98
  5. Step 5: Solve for x
    x = 2,129,961.98/1,596.28
  6. Step 6: Final answer
    x = 1,334.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.