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Finding the Fourth Proportional to 2,588.85, 3,571.46 and 1,749.29

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Solution

The fourth proportional to 2,588.85, 3,571.46 and 1,749.29 is: 2,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.85 : 3,571.46 = 1,749.29 : x
  2. Step 2: Convert to fraction form
    2,588.85/3,571.46 = 1,749.29/x
  3. Step 3: Cross multiply
    2,588.85x = 3,571.46 × 1,749.29
  4. Step 4: Simplify right side
    2,588.85x = 6,247,499.22
  5. Step 5: Solve for x
    x = 6,247,499.22/2,588.85
  6. Step 6: Final answer
    x = 2,413.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.