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Finding the Fourth Proportional to 2,408.58, 3,604.65 and 2,019.02

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Solution

The fourth proportional to 2,408.58, 3,604.65 and 2,019.02 is: 3,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.58 : 3,604.65 = 2,019.02 : x
  2. Step 2: Convert to fraction form
    2,408.58/3,604.65 = 2,019.02/x
  3. Step 3: Cross multiply
    2,408.58x = 3,604.65 × 2,019.02
  4. Step 4: Simplify right side
    2,408.58x = 7,277,834.85
  5. Step 5: Solve for x
    x = 7,277,834.85/2,408.58
  6. Step 6: Final answer
    x = 3,021.63

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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.