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Finding the Fourth Proportional to 2,163.96, 2,982.96 and 2,076.48

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Solution

The fourth proportional to 2,163.96, 2,982.96 and 2,076.48 is: 2,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.96 : 2,982.96 = 2,076.48 : x
  2. Step 2: Convert to fraction form
    2,163.96/2,982.96 = 2,076.48/x
  3. Step 3: Cross multiply
    2,163.96x = 2,982.96 × 2,076.48
  4. Step 4: Simplify right side
    2,163.96x = 6,194,056.78
  5. Step 5: Solve for x
    x = 6,194,056.78/2,163.96
  6. Step 6: Final answer
    x = 2,862.37

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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.