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Finding the Fourth Proportional to 2,682.14, 4,023.39 and 734.18

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Solution

The fourth proportional to 2,682.14, 4,023.39 and 734.18 is: 1,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.14 : 4,023.39 = 734.18 : x
  2. Step 2: Convert to fraction form
    2,682.14/4,023.39 = 734.18/x
  3. Step 3: Cross multiply
    2,682.14x = 4,023.39 × 734.18
  4. Step 4: Simplify right side
    2,682.14x = 2,953,892.47
  5. Step 5: Solve for x
    x = 2,953,892.47/2,682.14
  6. Step 6: Final answer
    x = 1,101.32

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1.5x scale

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.