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Finding the Fourth Proportional to 2,682.19, 4,023.29 and 734.41

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Solution

The fourth proportional to 2,682.19, 4,023.29 and 734.41 is: 1,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.19 : 4,023.29 = 734.41 : x
  2. Step 2: Convert to fraction form
    2,682.19/4,023.29 = 734.41/x
  3. Step 3: Cross multiply
    2,682.19x = 4,023.29 × 734.41
  4. Step 4: Simplify right side
    2,682.19x = 2,954,744.41
  5. Step 5: Solve for x
    x = 2,954,744.41/2,682.19
  6. Step 6: Final answer
    x = 1,101.62

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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.