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Finding the Fourth Proportional to 2,682.24, 4,022.91 and 734.01

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Solution

The fourth proportional to 2,682.24, 4,022.91 and 734.01 is: 1,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.24 : 4,022.91 = 734.01 : x
  2. Step 2: Convert to fraction form
    2,682.24/4,022.91 = 734.01/x
  3. Step 3: Cross multiply
    2,682.24x = 4,022.91 × 734.01
  4. Step 4: Simplify right side
    2,682.24x = 2,952,856.17
  5. Step 5: Solve for x
    x = 2,952,856.17/2,682.24
  6. Step 6: Final answer
    x = 1,100.89

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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.