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Finding the Fourth Proportional to 2,767.50, 3,816.42 and 2,349

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Solution

The fourth proportional to 2,767.50, 3,816.42 and 2,349 is: 3,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.50 : 3,816.42 = 2,349 : x
  2. Step 2: Convert to fraction form
    2,767.50/3,816.42 = 2,349/x
  3. Step 3: Cross multiply
    2,767.50x = 3,816.42 × 2,349
  4. Step 4: Simplify right side
    2,767.50x = 8,964,770.58
  5. Step 5: Solve for x
    x = 8,964,770.58/2,767.50
  6. Step 6: Final answer
    x = 3,239.30

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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.