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Finding the Fourth Proportional to 2,087.46, 2,883.20 and 1,589.85

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Solution

The fourth proportional to 2,087.46, 2,883.20 and 1,589.85 is: 2,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.46 : 2,883.20 = 1,589.85 : x
  2. Step 2: Convert to fraction form
    2,087.46/2,883.20 = 1,589.85/x
  3. Step 3: Cross multiply
    2,087.46x = 2,883.20 × 1,589.85
  4. Step 4: Simplify right side
    2,087.46x = 4,583,847.57
  5. Step 5: Solve for x
    x = 4,583,847.57/2,087.46
  6. Step 6: Final answer
    x = 2,195.90

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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.