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Finding the Fourth Proportional to 2,682.32, 4,023.63 and 734.48

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Solution

The fourth proportional to 2,682.32, 4,023.63 and 734.48 is: 1,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.32 : 4,023.63 = 734.48 : x
  2. Step 2: Convert to fraction form
    2,682.32/4,023.63 = 734.48/x
  3. Step 3: Cross multiply
    2,682.32x = 4,023.63 × 734.48
  4. Step 4: Simplify right side
    2,682.32x = 2,955,275.76
  5. Step 5: Solve for x
    x = 2,955,275.76/2,682.32
  6. Step 6: Final answer
    x = 1,101.76

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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.