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Finding the Fourth Proportional to 2,023.14, 3,035.20 and 836.92

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Solution

The fourth proportional to 2,023.14, 3,035.20 and 836.92 is: 1,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.14 : 3,035.20 = 836.92 : x
  2. Step 2: Convert to fraction form
    2,023.14/3,035.20 = 836.92/x
  3. Step 3: Cross multiply
    2,023.14x = 3,035.20 × 836.92
  4. Step 4: Simplify right side
    2,023.14x = 2,540,219.58
  5. Step 5: Solve for x
    x = 2,540,219.58/2,023.14
  6. Step 6: Final answer
    x = 1,255.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.