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Finding the Fourth Proportional to 3,023.44, 4,535.44 and 1,176.12

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Solution

The fourth proportional to 3,023.44, 4,535.44 and 1,176.12 is: 1,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.44 : 4,535.44 = 1,176.12 : x
  2. Step 2: Convert to fraction form
    3,023.44/4,535.44 = 1,176.12/x
  3. Step 3: Cross multiply
    3,023.44x = 4,535.44 × 1,176.12
  4. Step 4: Simplify right side
    3,023.44x = 5,334,221.69
  5. Step 5: Solve for x
    x = 5,334,221.69/3,023.44
  6. Step 6: Final answer
    x = 1,764.29

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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.