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Finding the Fourth Proportional to 3,330, 4,596.48 and 2,401.20

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Solution

The fourth proportional to 3,330, 4,596.48 and 2,401.20 is: 3,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330 : 4,596.48 = 2,401.20 : x
  2. Step 2: Convert to fraction form
    3,330/4,596.48 = 2,401.20/x
  3. Step 3: Cross multiply
    3,330x = 4,596.48 × 2,401.20
  4. Step 4: Simplify right side
    3,330x = 11,037,067.78
  5. Step 5: Solve for x
    x = 11,037,067.78/3,330
  6. Step 6: Final answer
    x = 3,314.43

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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.