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Finding the Fourth Proportional to 3,023.64, 4,535.22 and 2,294.76

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Solution

The fourth proportional to 3,023.64, 4,535.22 and 2,294.76 is: 3,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.64 : 4,535.22 = 2,294.76 : x
  2. Step 2: Convert to fraction form
    3,023.64/4,535.22 = 2,294.76/x
  3. Step 3: Cross multiply
    3,023.64x = 4,535.22 × 2,294.76
  4. Step 4: Simplify right side
    3,023.64x = 10,407,241.45
  5. Step 5: Solve for x
    x = 10,407,241.45/3,023.64
  6. Step 6: Final answer
    x = 3,441.96

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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.