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Finding the Fourth Proportional to 2,682.72, 3,701.79 and 1,563.39

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Solution

The fourth proportional to 2,682.72, 3,701.79 and 1,563.39 is: 2,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.72 : 3,701.79 = 1,563.39 : x
  2. Step 2: Convert to fraction form
    2,682.72/3,701.79 = 1,563.39/x
  3. Step 3: Cross multiply
    2,682.72x = 3,701.79 × 1,563.39
  4. Step 4: Simplify right side
    2,682.72x = 5,787,341.47
  5. Step 5: Solve for x
    x = 5,787,341.47/2,682.72
  6. Step 6: Final answer
    x = 2,157.27

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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.