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Finding the Fourth Proportional to 2,409.75, 3,325.32 and 1,747.44

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Solution

The fourth proportional to 2,409.75, 3,325.32 and 1,747.44 is: 2,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.75 : 3,325.32 = 1,747.44 : x
  2. Step 2: Convert to fraction form
    2,409.75/3,325.32 = 1,747.44/x
  3. Step 3: Cross multiply
    2,409.75x = 3,325.32 × 1,747.44
  4. Step 4: Simplify right side
    2,409.75x = 5,810,797.18
  5. Step 5: Solve for x
    x = 5,810,797.18/2,409.75
  6. Step 6: Final answer
    x = 2,411.37

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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.