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Finding the Fourth Proportional to 1,735.56, 2,605.23 and 1,728.54

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Solution

The fourth proportional to 1,735.56, 2,605.23 and 1,728.54 is: 2,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.56 : 2,605.23 = 1,728.54 : x
  2. Step 2: Convert to fraction form
    1,735.56/2,605.23 = 1,728.54/x
  3. Step 3: Cross multiply
    1,735.56x = 2,605.23 × 1,728.54
  4. Step 4: Simplify right side
    1,735.56x = 4,503,244.26
  5. Step 5: Solve for x
    x = 4,503,244.26/1,735.56
  6. Step 6: Final answer
    x = 2,594.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.