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Finding the Fourth Proportional to 2,760.82, 3,810.93 and 1,829.62

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Solution

The fourth proportional to 2,760.82, 3,810.93 and 1,829.62 is: 2,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.82 : 3,810.93 = 1,829.62 : x
  2. Step 2: Convert to fraction form
    2,760.82/3,810.93 = 1,829.62/x
  3. Step 3: Cross multiply
    2,760.82x = 3,810.93 × 1,829.62
  4. Step 4: Simplify right side
    2,760.82x = 6,972,553.75
  5. Step 5: Solve for x
    x = 6,972,553.75/2,760.82
  6. Step 6: Final answer
    x = 2,525.54

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1.5x scale

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.