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Finding the Fourth Proportional to 2,408.60, 3,604.80 and 2,214.20

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Solution

The fourth proportional to 2,408.60, 3,604.80 and 2,214.20 is: 3,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.60 : 3,604.80 = 2,214.20 : x
  2. Step 2: Convert to fraction form
    2,408.60/3,604.80 = 2,214.20/x
  3. Step 3: Cross multiply
    2,408.60x = 3,604.80 × 2,214.20
  4. Step 4: Simplify right side
    2,408.60x = 7,981,748.16
  5. Step 5: Solve for x
    x = 7,981,748.16/2,408.60
  6. Step 6: Final answer
    x = 3,313.85

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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.