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Finding the Fourth Proportional to 2,408.00, 3,323.50 and 1,524.02

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Solution

The fourth proportional to 2,408.00, 3,323.50 and 1,524.02 is: 2,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.00 : 3,323.50 = 1,524.02 : x
  2. Step 2: Convert to fraction form
    2,408.00/3,323.50 = 1,524.02/x
  3. Step 3: Cross multiply
    2,408.00x = 3,323.50 × 1,524.02
  4. Step 4: Simplify right side
    2,408.00x = 5,065,060.04
  5. Step 5: Solve for x
    x = 5,065,060.04/2,408.00
  6. Step 6: Final answer
    x = 2,103.43

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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.