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Finding the Fourth Proportional to 1,728.42, 2,588.94 and 1,608.54

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Solution

The fourth proportional to 1,728.42, 2,588.94 and 1,608.54 is: 2,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.42 : 2,588.94 = 1,608.54 : x
  2. Step 2: Convert to fraction form
    1,728.42/2,588.94 = 1,608.54/x
  3. Step 3: Cross multiply
    1,728.42x = 2,588.94 × 1,608.54
  4. Step 4: Simplify right side
    1,728.42x = 4,164,413.55
  5. Step 5: Solve for x
    x = 4,164,413.55/1,728.42
  6. Step 6: Final answer
    x = 2,409.38

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