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Finding the Fourth Proportional to 3,480.39, 4,802.96 and 1,908.49

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Solution

The fourth proportional to 3,480.39, 4,802.96 and 1,908.49 is: 2,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.39 : 4,802.96 = 1,908.49 : x
  2. Step 2: Convert to fraction form
    3,480.39/4,802.96 = 1,908.49/x
  3. Step 3: Cross multiply
    3,480.39x = 4,802.96 × 1,908.49
  4. Step 4: Simplify right side
    3,480.39x = 9,166,401.13
  5. Step 5: Solve for x
    x = 9,166,401.13/3,480.39
  6. Step 6: Final answer
    x = 2,633.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.