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Finding the Fourth Proportional to 2,682.09, 4,023.15 and 734.58

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Solution

The fourth proportional to 2,682.09, 4,023.15 and 734.58 is: 1,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.09 : 4,023.15 = 734.58 : x
  2. Step 2: Convert to fraction form
    2,682.09/4,023.15 = 734.58/x
  3. Step 3: Cross multiply
    2,682.09x = 4,023.15 × 734.58
  4. Step 4: Simplify right side
    2,682.09x = 2,955,325.53
  5. Step 5: Solve for x
    x = 2,955,325.53/2,682.09
  6. Step 6: Final answer
    x = 1,101.87

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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.