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Finding the Fourth Proportional to 2,408.00, 3,604.97 and 1,480.75

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Solution

The fourth proportional to 2,408.00, 3,604.97 and 1,480.75 is: 2,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.00 : 3,604.97 = 1,480.75 : x
  2. Step 2: Convert to fraction form
    2,408.00/3,604.97 = 1,480.75/x
  3. Step 3: Cross multiply
    2,408.00x = 3,604.97 × 1,480.75
  4. Step 4: Simplify right side
    2,408.00x = 5,338,054.02
  5. Step 5: Solve for x
    x = 5,338,054.02/2,408.00
  6. Step 6: Final answer
    x = 2,216.80

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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.