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Finding the Fourth Proportional to 2,682.61, 4,023.43 and 734.36

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Solution

The fourth proportional to 2,682.61, 4,023.43 and 734.36 is: 1,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.61 : 4,023.43 = 734.36 : x
  2. Step 2: Convert to fraction form
    2,682.61/4,023.43 = 734.36/x
  3. Step 3: Cross multiply
    2,682.61x = 4,023.43 × 734.36
  4. Step 4: Simplify right side
    2,682.61x = 2,954,624.10
  5. Step 5: Solve for x
    x = 2,954,624.10/2,682.61
  6. Step 6: Final answer
    x = 1,101.40

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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.