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Finding the Fourth Proportional to 1,728.62, 2,605.70 and 1,628.30

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Solution

The fourth proportional to 1,728.62, 2,605.70 and 1,628.30 is: 2,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.62 : 2,605.70 = 1,628.30 : x
  2. Step 2: Convert to fraction form
    1,728.62/2,605.70 = 1,628.30/x
  3. Step 3: Cross multiply
    1,728.62x = 2,605.70 × 1,628.30
  4. Step 4: Simplify right side
    1,728.62x = 4,242,861.31
  5. Step 5: Solve for x
    x = 4,242,861.31/1,728.62
  6. Step 6: Final answer
    x = 2,454.48

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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.