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Finding the Fourth Proportional to 3,023.44, 4,535.63 and 943.02

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Solution

The fourth proportional to 3,023.44, 4,535.63 and 943.02 is: 1,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.44 : 4,535.63 = 943.02 : x
  2. Step 2: Convert to fraction form
    3,023.44/4,535.63 = 943.02/x
  3. Step 3: Cross multiply
    3,023.44x = 4,535.63 × 943.02
  4. Step 4: Simplify right side
    3,023.44x = 4,277,189.80
  5. Step 5: Solve for x
    x = 4,277,189.80/3,023.44
  6. Step 6: Final answer
    x = 1,414.68

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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.