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Finding the Fourth Proportional to 2,760.78, 3,810.78 and 1,767.54

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Solution

The fourth proportional to 2,760.78, 3,810.78 and 1,767.54 is: 2,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.78 : 3,810.78 = 1,767.54 : x
  2. Step 2: Convert to fraction form
    2,760.78/3,810.78 = 1,767.54/x
  3. Step 3: Cross multiply
    2,760.78x = 3,810.78 × 1,767.54
  4. Step 4: Simplify right side
    2,760.78x = 6,735,706.08
  5. Step 5: Solve for x
    x = 6,735,706.08/2,760.78
  6. Step 6: Final answer
    x = 2,439.78

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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.