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Finding the Fourth Proportional to 2,416.44, 3,604.95 and 2,349.48

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Solution

The fourth proportional to 2,416.44, 3,604.95 and 2,349.48 is: 3,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.44 : 3,604.95 = 2,349.48 : x
  2. Step 2: Convert to fraction form
    2,416.44/3,604.95 = 2,349.48/x
  3. Step 3: Cross multiply
    2,416.44x = 3,604.95 × 2,349.48
  4. Step 4: Simplify right side
    2,416.44x = 8,469,757.93
  5. Step 5: Solve for x
    x = 8,469,757.93/2,416.44
  6. Step 6: Final answer
    x = 3,505.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.