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Finding the Fourth Proportional to 2,391.49, 3,580.32 and 1,608.79

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Solution

The fourth proportional to 2,391.49, 3,580.32 and 1,608.79 is: 2,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.49 : 3,580.32 = 1,608.79 : x
  2. Step 2: Convert to fraction form
    2,391.49/3,580.32 = 1,608.79/x
  3. Step 3: Cross multiply
    2,391.49x = 3,580.32 × 1,608.79
  4. Step 4: Simplify right side
    2,391.49x = 5,759,983.01
  5. Step 5: Solve for x
    x = 5,759,983.01/2,391.49
  6. Step 6: Final answer
    x = 2,408.53

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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.