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Finding the Fourth Proportional to 2,469.33, 3,700.82 and 1,848.17

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Solution

The fourth proportional to 2,469.33, 3,700.82 and 1,848.17 is: 2,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.33 : 3,700.82 = 1,848.17 : x
  2. Step 2: Convert to fraction form
    2,469.33/3,700.82 = 1,848.17/x
  3. Step 3: Cross multiply
    2,469.33x = 3,700.82 × 1,848.17
  4. Step 4: Simplify right side
    2,469.33x = 6,839,716.75
  5. Step 5: Solve for x
    x = 6,839,716.75/2,469.33
  6. Step 6: Final answer
    x = 2,769.87

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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.