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Finding the Fourth Proportional to 2,682.69, 4,024.04 and 734.91

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Solution

The fourth proportional to 2,682.69, 4,024.04 and 734.91 is: 1,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.69 : 4,024.04 = 734.91 : x
  2. Step 2: Convert to fraction form
    2,682.69/4,024.04 = 734.91/x
  3. Step 3: Cross multiply
    2,682.69x = 4,024.04 × 734.91
  4. Step 4: Simplify right side
    2,682.69x = 2,957,303.56
  5. Step 5: Solve for x
    x = 2,957,303.56/2,682.69
  6. Step 6: Final answer
    x = 1,102.37

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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.