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Finding the Fourth Proportional to 3,134.44, 4,701.84 and 943.12

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Solution

The fourth proportional to 3,134.44, 4,701.84 and 943.12 is: 1,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.44 : 4,701.84 = 943.12 : x
  2. Step 2: Convert to fraction form
    3,134.44/4,701.84 = 943.12/x
  3. Step 3: Cross multiply
    3,134.44x = 4,701.84 × 943.12
  4. Step 4: Simplify right side
    3,134.44x = 4,434,399.34
  5. Step 5: Solve for x
    x = 4,434,399.34/3,134.44
  6. Step 6: Final answer
    x = 1,414.73

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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.