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Finding the Fourth Proportional to 2,682.86, 4,024.10 and 734.91

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Solution

The fourth proportional to 2,682.86, 4,024.10 and 734.91 is: 1,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.86 : 4,024.10 = 734.91 : x
  2. Step 2: Convert to fraction form
    2,682.86/4,024.10 = 734.91/x
  3. Step 3: Cross multiply
    2,682.86x = 4,024.10 × 734.91
  4. Step 4: Simplify right side
    2,682.86x = 2,957,347.66
  5. Step 5: Solve for x
    x = 2,957,347.66/2,682.86
  6. Step 6: Final answer
    x = 1,102.31

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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.