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Finding the Fourth Proportional to 1,735.62, 2,616.34 and 1,622.76

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Solution

The fourth proportional to 1,735.62, 2,616.34 and 1,622.76 is: 2,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.62 : 2,616.34 = 1,622.76 : x
  2. Step 2: Convert to fraction form
    1,735.62/2,616.34 = 1,622.76/x
  3. Step 3: Cross multiply
    1,735.62x = 2,616.34 × 1,622.76
  4. Step 4: Simplify right side
    1,735.62x = 4,245,691.90
  5. Step 5: Solve for x
    x = 4,245,691.90/1,735.62
  6. Step 6: Final answer
    x = 2,446.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.