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Finding the Fourth Proportional to 2,023.44, 3,033.91 and 928.14

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Solution

The fourth proportional to 2,023.44, 3,033.91 and 928.14 is: 1,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.44 : 3,033.91 = 928.14 : x
  2. Step 2: Convert to fraction form
    2,023.44/3,033.91 = 928.14/x
  3. Step 3: Cross multiply
    2,023.44x = 3,033.91 × 928.14
  4. Step 4: Simplify right side
    2,023.44x = 2,815,893.23
  5. Step 5: Solve for x
    x = 2,815,893.23/2,023.44
  6. Step 6: Final answer
    x = 1,391.64

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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.