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Finding the Fourth Proportional to 1,834.62, 2,735.84 and 1,635.45

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Solution

The fourth proportional to 1,834.62, 2,735.84 and 1,635.45 is: 2,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.62 : 2,735.84 = 1,635.45 : x
  2. Step 2: Convert to fraction form
    1,834.62/2,735.84 = 1,635.45/x
  3. Step 3: Cross multiply
    1,834.62x = 2,735.84 × 1,635.45
  4. Step 4: Simplify right side
    1,834.62x = 4,474,321.35
  5. Step 5: Solve for x
    x = 4,474,321.35/1,834.62
  6. Step 6: Final answer
    x = 2,438.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.