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Finding the Fourth Proportional to 2,773.29, 4,157.72 and 1,601.96

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Solution

The fourth proportional to 2,773.29, 4,157.72 and 1,601.96 is: 2,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.29 : 4,157.72 = 1,601.96 : x
  2. Step 2: Convert to fraction form
    2,773.29/4,157.72 = 1,601.96/x
  3. Step 3: Cross multiply
    2,773.29x = 4,157.72 × 1,601.96
  4. Step 4: Simplify right side
    2,773.29x = 6,660,480.34
  5. Step 5: Solve for x
    x = 6,660,480.34/2,773.29
  6. Step 6: Final answer
    x = 2,401.66

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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.