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Finding the Fourth Proportional to 2,682.47, 4,022.94 and 927.02

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Solution

The fourth proportional to 2,682.47, 4,022.94 and 927.02 is: 1,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.47 : 4,022.94 = 927.02 : x
  2. Step 2: Convert to fraction form
    2,682.47/4,022.94 = 927.02/x
  3. Step 3: Cross multiply
    2,682.47x = 4,022.94 × 927.02
  4. Step 4: Simplify right side
    2,682.47x = 3,729,336.94
  5. Step 5: Solve for x
    x = 3,729,336.94/2,682.47
  6. Step 6: Final answer
    x = 1,390.26

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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.