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Finding the Fourth Proportional to 1,563.90, 2,157.91 and 966.73

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Solution

The fourth proportional to 1,563.90, 2,157.91 and 966.73 is: 1,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.90 : 2,157.91 = 966.73 : x
  2. Step 2: Convert to fraction form
    1,563.90/2,157.91 = 966.73/x
  3. Step 3: Cross multiply
    1,563.90x = 2,157.91 × 966.73
  4. Step 4: Simplify right side
    1,563.90x = 2,086,116.33
  5. Step 5: Solve for x
    x = 2,086,116.33/1,563.90
  6. Step 6: Final answer
    x = 1,333.92

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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.